123101311322112 has 96 divisors (see below), whose sum is σ = 328197750884640. Its totient is φ = 41032803778560.

The previous prime is 123101311322063. The next prime is 123101311322161. The reversal of 123101311322112 is 211223113101321.

It is an interprime number because it is at equal distance from previous prime (123101311322063) and next prime (123101311322161).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289544763 + ... + 289969605.

It is an arithmetic number, because the mean of its divisors is an integer number (3418726571715).

Almost surely, 2^{123101311322112} is an apocalyptic number.

123101311322112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123101311322112 is an abundant number, since it is smaller than the sum of its proper divisors (205096439562528).

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

123101311322112 is an equidigital number, since it uses as much as digits as its factorization.

123101311322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472029 (or 472009 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 123101311322112 its reverse (211223113101321), we get a palindrome (334324424423433).

The spelling of 123101311322112 in words is "one hundred twenty-three trillion, one hundred one billion, three hundred eleven million, three hundred twenty-two thousand, one hundred twelve".