12505113600 has 396 divisors, whose sum is σ = 48092283504. Its totient is φ = 2857451520.

The previous prime is 12505113563. The next prime is 12505113619. The reversal of 12505113600 is 631150521.

It is a super-2 number, since 2×12505113600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3761539 + ... + 3764861.

Almost surely, 2^12505113600 is an apocalyptic number.

12505113600 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 12505113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24046141752).

12505113600 is an abundant number, since it is smaller than the sum of its proper divisors (35587169904).

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

12505113600 is a wasteful number, since it uses less digits than its factorization.

12505113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 12505113600 in words is "twelve billion, five hundred five million, one hundred thirteen thousand, six hundred".