Search a number
-
+
12122001112200 = 23352723791087897
BaseRepresentation
bin1011000001100101111110…
…0100011111110010001000
31120220212000002200202011120
42300121133210133302020
53042101324241042300
641440434225155240
72360533326241200
oct260313744376210
946825002622146
1012122001112200
113953a03676161
1214393a978bb20
1369c13b3505c5
142dc9ca9cd400
151604c39083a0
hexb065f91fc88

12122001112200 has 288 divisors, whose sum is σ = 43828799464800. Its totient is φ = 2763429903360.

The previous prime is 12122001112183. The next prime is 12122001112217. The reversal of 12122001112200 is 221110022121.

12122001112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12122001112183) and next prime (12122001112217).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122001112200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10598652 + ... + 11686548.

It is an arithmetic number, because the mean of its divisors is an integer number (152183331475).

Almost surely, 212122001112200 is an apocalyptic number.

12122001112200 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 12122001112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21914399732400).

12122001112200 is an abundant number, since it is smaller than the sum of its proper divisors (31706798352600).

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

12122001112200 is a wasteful number, since it uses less digits than its factorization.

12122001112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088309 (or 1088293 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122001112200 its reverse (221110022121), we get a palindrome (12343111134321).

The spelling of 12122001112200 in words is "twelve trillion, one hundred twenty-two billion, one million, one hundred twelve thousand, two hundred".