123001003311012 has 72 divisors (see below), whose sum is σ = 312536738352384. Its totient is φ = 40787352149376.

The previous prime is 123001003311001. The next prime is 123001003311013. The reversal of 123001003311012 is 210113300100321.

123001003311012 is a `hidden beast` number, since 1 + 2 + 300 + 10 + 0 + 331 + 10 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (123001003311013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2604673 + ... + 15899255.

It is an arithmetic number, because the mean of its divisors is an integer number (4340788032672).

Almost surely, 2^{123001003311012} is an apocalyptic number.

123001003311012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123001003311012 is an abundant number, since it is smaller than the sum of its proper divisors (189535735041372).

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

123001003311012 is a wasteful number, since it uses less digits than its factorization.

123001003311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13295929 (or 13295924 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123001003311012 its reverse (210113300100321), we get a palindrome (333114303411333).

The spelling of 123001003311012 in words is "one hundred twenty-three trillion, one billion, three million, three hundred eleven thousand, twelve".