12500634182400 has 1296 divisors, whose sum is σ = 56727589201920. Its totient is φ = 2637453312000.

The previous prime is 12500634182327. The next prime is 12500634182429. The reversal of 12500634182400 is 428143600521.

It is a happy number.

12500634182400 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 0 + 634 + 18 + 2 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 204391825 + ... + 204452975.

Almost surely, 2^{12500634182400} is an apocalyptic number.

12500634182400 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 12500634182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28363794600960).

12500634182400 is an abundant number, since it is smaller than the sum of its proper divisors (44226955019520).

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

12500634182400 is a wasteful number, since it uses less digits than its factorization.

12500634182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61219 (or 61181 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 12500634182400 its reverse (428143600521), we get a palindrome (12928777782921).

The spelling of 12500634182400 in words is "twelve trillion, five hundred billion, six hundred thirty-four million, one hundred eighty-two thousand, four hundred".