12520727409600 has 1008 divisors, whose sum is σ = 47602987880448. Its totient is φ = 3234985205760.

The previous prime is 12520727409563. The next prime is 12520727409677. The reversal of 12520727409600 is 690472702521.

12520727409600 is a `hidden beast` number, since 1 + 2 + 520 + 7 + 27 + 40 + 9 + 60 + 0 = 666.

It is a super-2 number, since 2×12520727409600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2123233852 + ... + 2123239748.

Almost surely, 2^{12520727409600} is an apocalyptic number.

12520727409600 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 12520727409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23801493940224).

12520727409600 is an abundant number, since it is smaller than the sum of its proper divisors (35082260470848).

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

12520727409600 is a wasteful number, since it uses less digits than its factorization.

12520727409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6104 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12520727409600 in words is "twelve trillion, five hundred twenty billion, seven hundred twenty-seven million, four hundred nine thousand, six hundred".