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12502550120 = 2353727730497
BaseRepresentation
bin10111010010011010…
…11100011001101000
31012021022202100111212
423221031130121220
5201101123100440
65424341012252
7621552631304
oct135115343150
935238670455
1012502550120
1153363aaa55
12250b0b4088
131243300568
14868678d04
154d293e465
hex2e935c668

12502550120 has 64 divisors (see below), whose sum is σ = 28996278480. Its totient is φ = 4848132096.

The previous prime is 12502550119. The next prime is 12502550149. The reversal of 12502550120 is 2105520521.

12502550120 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 8 ways, for example, as 7688133124 + 4814416996 = 87682^2 + 69386^2 .

It is a super-2 number, since 2×125025501202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394712 + ... + 425208.

Almost surely, 212502550120 is an apocalyptic number.

12502550120 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 12502550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498139240).

12502550120 is an abundant number, since it is smaller than the sum of its proper divisors (16493728360).

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

12502550120 is a wasteful number, since it uses less digits than its factorization.

12502550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30822 (or 30818 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The spelling of 12502550120 in words is "twelve billion, five hundred two million, five hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 277 296 370 554 740 1108 1385 1480 2216 2770 5540 10249 11080 20498 30497 40996 51245 60994 81992 102490 121988 152485 204980 243976 304970 409960 609940 1128389 1219880 2256778 4513556 5641945 8447669 9027112 11283890 16895338 22567780 33790676 42238345 45135560 67581352 84476690 168953380 312563753 337906760 625127506 1250255012 1562818765 2500510024 3125637530 6251275060 12502550120