12102970968 has 256 divisors, whose sum is σ = 38928384000. Its totient is φ = 3445545600.

The previous prime is 12102970961. The next prime is 12102970969. The reversal of 12102970968 is 86907920121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102970961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5732233 + ... + 5734343.

It is an arithmetic number, because the mean of its divisors is an integer number (152064000).

Almost surely, 2^12102970968 is an apocalyptic number.

12102970968 is a gapful number since it is divisible by the number (18) 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 12102970968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19464192000).

12102970968 is an abundant number, since it is smaller than the sum of its proper divisors (26825413032).

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

12102970968 is a wasteful number, since it uses less digits than its factorization.

12102970968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12102970968 in words is "twelve billion, one hundred two million, nine hundred seventy thousand, nine hundred sixty-eight".