12697731072 has 400 divisors, whose sum is σ = 42630865200. Its totient is φ = 3737124864.

The previous prime is 12697731031. The next prime is 12697731097. The reversal of 12697731072 is 27013779621.

12697731072 is a `hidden beast` number, since 1 + 269 + 7 + 7 + 310 + 72 = 666.

It is a super-2 number, since 2×12697731072² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 552075253 + ... + 552075275.

It is an arithmetic number, because the mean of its divisors is an integer number (106577163).

Almost surely, 2^12697731072 is an apocalyptic number.

12697731072 is a gapful number since it is divisible by the number (12) 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 12697731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21315432600).

12697731072 is an abundant number, since it is smaller than the sum of its proper divisors (29933134128).

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

12697731072 is an frugal number, since it uses more digits than its factorization.

12697731072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 12697731072 in words is "twelve billion, six hundred ninety-seven million, seven hundred thirty-one thousand, seventy-two".