12970397160 has 512 divisors, whose sum is σ = 51010560000. Its totient is φ = 2906295552.

The previous prime is 12970397147. The next prime is 12970397161. The reversal of 12970397160 is 6179307921.

12970397160 is a `hidden beast` number, since 12 + 97 + 0 + 397 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12970397161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36129061 + ... + 36129419.

It is an arithmetic number, because the mean of its divisors is an integer number (99630000).

Almost surely, 2^12970397160 is an apocalyptic number.

12970397160 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 12970397160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25505280000).

12970397160 is an abundant number, since it is smaller than the sum of its proper divisors (38040162840).

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

12970397160 is an equidigital number, since it uses as much as digits as its factorization.

12970397160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 12970397160 in words is "twelve billion, nine hundred seventy million, three hundred ninety-seven thousand, one hundred sixty".