12631730526720 has 1920 divisors, whose sum is σ = 50104405612800. Its totient is φ = 3004025536512.

The previous prime is 12631730526647. The next prime is 12631730526781. The reversal of 12631730526720 is 2762503713621.

12631730526720 is a `hidden beast` number, since 1 + 2 + 6 + 31 + 73 + 0 + 526 + 7 + 20 = 666.

12631730526720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 141929556436 + ... + 141929556524.

It is an arithmetic number, because the mean of its divisors is an integer number (26096044590).

Almost surely, 2^{12631730526720} is an apocalyptic number.

12631730526720 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 12631730526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25052202806400).

12631730526720 is an abundant number, since it is smaller than the sum of its proper divisors (37472675086080).

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

12631730526720 is an equidigital number, since it uses as much as digits as its factorization.

12631730526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 12631730526720 in words is "twelve trillion, six hundred thirty-one billion, seven hundred thirty million, five hundred twenty-six thousand, seven hundred twenty".