12531697920 has 720 divisors, whose sum is σ = 52994608128. Its totient is φ = 2767011840.

The previous prime is 12531697903. The next prime is 12531697939. The reversal of 12531697920 is 2979613521.

It is a happy number.

12531697920 is a `hidden beast` number, since 1 + 2 + 531 + 6 + 97 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×12531697920³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22498282 + ... + 22498838.

Almost surely, 2^12531697920 is an apocalyptic number.

12531697920 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 12531697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26497304064).

12531697920 is an abundant number, since it is smaller than the sum of its proper divisors (40462910208).

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

12531697920 is an equidigital number, since it uses as much as digits as its factorization.

12531697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 12531697920 in words is "twelve billion, five hundred thirty-one million, six hundred ninety-seven thousand, nine hundred twenty".