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12050212112500 = 225541102123029
BaseRepresentation
bin1010111101011010100010…
…0111001100100001110100
31120122222201000000201001211
42233112220213030201310
53034412313300100000
641343442505531204
72352412326641032
oct257265047144164
946588630021054
1012050212112500
113926514653141
1214274b37a3b04
1369543a397b63
142d933a565552
1515d6c12137ba
hexaf5a89cc874

12050212112500 has 144 divisors (see below), whose sum is σ = 27028653024240. Its totient is φ = 4697712000000.

The previous prime is 12050212112483. The next prime is 12050212112501. The reversal of 12050212112500 is 521121205021.

It is a happy number.

12050212112500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 10594478167056 + 1455733945444 = 3254916^2 + 1206538^2 .

It is a super-2 number, since 2×120502121125002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12050212112501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523250986 + ... + 523274014.

It is an arithmetic number, because the mean of its divisors is an integer number (187698979335).

Almost surely, 212050212112500 is an apocalyptic number.

12050212112500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12050212112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514326512120).

12050212112500 is an abundant number, since it is smaller than the sum of its proper divisors (14978440911740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12050212112500 is a wasteful number, since it uses less digits than its factorization.

12050212112500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24120 (or 24098 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 12050212112500 its reverse (521121205021), we get a palindrome (12571333317521).

The spelling of 12050212112500 in words is "twelve trillion, fifty billion, two hundred twelve million, one hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 625 820 1021 1025 1250 2042 2050 2500 3125 4084 4100 5105 5125 6250 10210 10250 12500 20420 20500 23029 25525 25625 41861 46058 51050 51250 83722 92116 102100 102500 115145 127625 128125 167444 209305 230290 255250 256250 418610 460580 510500 512500 575725 638125 837220 944189 1046525 1151450 1276250 1888378 2093050 2302900 2552500 2878625 3190625 3776756 4186100 4720945 5232625 5757250 6381250 9441890 10465250 11514500 12762500 14393125 18883780 20930500 23512609 23604725 26163125 28786250 47025218 47209450 52326250 57572500 71965625 94050436 94418900 104652500 117563045 118023625 130815625 143931250 235126090 236047250 261631250 287862500 470252180 472094500 523262500 587815225 590118125 964016969 1175630450 1180236250 1928033938 2351260900 2360472500 2939076125 2950590625 3856067876 4820084845 5878152250 5901181250 9640169690 11756304500 11802362500 14695380625 19280339380 24100424225 29390761250 48200848450 58781522500 73476903125 96401696900 120502121125 146953806250 241004242250 293907612500 482008484500 602510605625 1205021211250 2410042422500 3012553028125 6025106056250 12050212112500