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12502981120 = 2957329491
BaseRepresentation
bin10111010010011110…
…00101101000000000
31012021100120020201211
423221033011220000
5201101230343440
65424354135504
7621556405000
oct135117055000
935240506654
1012502981120
115336674853
12250b281594
1312434217a6
1486874c000
154d29c6eea
hex2e93c5a00

12502981120 has 320 divisors, whose sum is σ = 36238752000. Its totient is φ = 4130488320.

The previous prime is 12502981097. The next prime is 12502981123. The reversal of 12502981120 is 2118920521.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12502981123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25464075 + ... + 25464565.

It is an arithmetic number, because the mean of its divisors is an integer number (113246100).

Almost surely, 212502981120 is an apocalyptic number.

12502981120 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 12502981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119376000).

12502981120 is an abundant number, since it is smaller than the sum of its proper divisors (23735770880).

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

12502981120 is an frugal number, since it uses more digits than its factorization.

12502981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The spelling of 12502981120 in words is "twelve billion, five hundred two million, nine hundred eighty-one thousand, one hundred twenty".