12970438065 has 320 divisors, whose sum is σ = 28979596800. Its totient is φ = 5476294656.

The previous prime is 12970438057. The next prime is 12970438073. The reversal of 12970438065 is 56083407921.

It is an interprime number because it is at equal distance from previous prime (12970438057) and next prime (12970438073).

It is not a de Polignac number, because 12970438065 - 2³ = 12970438057 is a prime.

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

Together with 16009158735 it forms an amicable pair .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12970438065.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 49317124 + ... + 49317386.

It is an arithmetic number, because the mean of its divisors is an integer number (90561240).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12970438065 = 25940876130, but 3⋅12970438065 = 38911314195 is not.

Almost surely, 2^12970438065 is an apocalyptic number.

12970438065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12970438065 is an abundant number, since it is smaller than the sum of its proper divisors (16009158735).

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

12970438065 is a wasteful number, since it uses less digits than its factorization.

12970438065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12970438065 in words is "twelve billion, nine hundred seventy million, four hundred thirty-eight thousand, sixty-five".