10122131240712 has 64 divisors (see below), whose sum is σ = 28117515528000. Its totient is φ = 3373985630592.

The previous prime is 10122131240707. The next prime is 10122131240713. The reversal of 10122131240712 is 21704213122101.

10122131240712 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 31 + 2 + 407 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10122131240713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13229203 + ... + 13973405.

It is an arithmetic number, because the mean of its divisors is an integer number (439336180125).

Almost surely, 2^{10122131240712} is an apocalyptic number.

10122131240712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122131240712 is an abundant number, since it is smaller than the sum of its proper divisors (17995384287288).

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

10122131240712 is a wasteful number, since it uses less digits than its factorization.

10122131240712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807187 (or 807177 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 10122131240712 its reverse (21704213122101), we get a palindrome (31826344362813).

The spelling of 10122131240712 in words is "ten trillion, one hundred twenty-two billion, one hundred thirty-one million, two hundred forty thousand, seven hundred twelve".