123101122333032 has 48 divisors (see below), whose sum is σ = 333409828342500. Its totient is φ = 41032359092736.

The previous prime is 123101122333003. The next prime is 123101122333051. The reversal of 123101122333032 is 230333221101321.

123101122333032 is a `hidden beast` number, since 1 + 2 + 3 + 10 + 112 + 233 + 303 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83466971072676 + 39634151260356 = 9136026^2 + 6295566^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123101122332987 and 123101122333005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25883107 + ... + 30267762.

Almost surely, 2^{123101122333032} is an apocalyptic number.

123101122333032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123101122333032 is an abundant number, since it is smaller than the sum of its proper divisors (210308706009468).

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

123101122333032 is a wasteful number, since it uses less digits than its factorization.

123101122333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56181330 (or 56181323 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123101122333032 its reverse (230333221101321), we get a palindrome (353434343434353).

The spelling of 123101122333032 in words is "one hundred twenty-three trillion, one hundred one billion, one hundred twenty-two million, three hundred thirty-three thousand, thirty-two".