12616531200 has 1296 divisors, whose sum is σ = 58122529920. Its totient is φ = 2539192320.

The previous prime is 12616531199. The next prime is 12616531217. The reversal of 12616531200 is 213561621.

12616531200 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 653 + 1 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 152006359 + ... + 152006441.

Almost surely, 2^12616531200 is an apocalyptic number.

12616531200 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 12616531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29061264960).

12616531200 is an abundant number, since it is smaller than the sum of its proper divisors (45505998720).

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

12616531200 is a wasteful number, since it uses less digits than its factorization.

12616531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12616531200 in words is "twelve billion, six hundred sixteen million, five hundred thirty-one thousand, two hundred".