12721525502400 has 4032 divisors, whose sum is σ = 58274368868352. Its totient is φ = 2709780480000.

The previous prime is 12721525502381. The next prime is 12721525502407. The reversal of 12721525502400 is 420552512721.

12721525502400 is a `hidden beast` number, since 1 + 2 + 72 + 15 + 2 + 550 + 24 + 0 + 0 = 666.

It is a super-2 number, since 2×12721525502400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12721525502407) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 208549598370 + ... + 208549598430.

Almost surely, 2^{12721525502400} is an apocalyptic number.

12721525502400 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 12721525502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29137184434176).

12721525502400 is an abundant number, since it is smaller than the sum of its proper divisors (45552843365952).

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

12721525502400 is a wasteful number, since it uses less digits than its factorization.

12721525502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 12721525502400 in words is "twelve trillion, seven hundred twenty-one billion, five hundred twenty-five million, five hundred two thousand, four hundred".