12641112378792 has 96 divisors (see below), whose sum is σ = 34853820924000. Its totient is φ = 4137930437760.

The previous prime is 12641112378773. The next prime is 12641112378833. The reversal of 12641112378792 is 29787321114621.

It is a happy number.

12641112378792 is a `hidden beast` number, since 1 + 26 + 411 + 12 + 37 + 87 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393759 + ... + 5043537.

It is an arithmetic number, because the mean of its divisors is an integer number (363060634625).

Almost surely, 2^{12641112378792} is an apocalyptic number.

12641112378792 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 12641112378792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426910462000).

12641112378792 is an abundant number, since it is smaller than the sum of its proper divisors (22212708545208).

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

12641112378792 is a wasteful number, since it uses less digits than its factorization.

12641112378792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650471 (or 4650464 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 12641112378792 in words is "twelve trillion, six hundred forty-one billion, one hundred twelve million, three hundred seventy-eight thousand, seven hundred ninety-two".