123236424632321 has 54 divisors (see below), whose sum is σ = 170627302488006. Its totient is φ = 88641583430400.

The previous prime is 123236424632309. The next prime is 123236424632407.

123236424632321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 27867628096 + 123208557004225 = 166936^2 + 11099935^2 .

It is not a de Polignac number, because 123236424632321 - 2¹⁴ = 123236424615937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123236424622321) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 60493160 + ... + 62497161.

It is an arithmetic number, because the mean of its divisors is an integer number (3159764860889).

Almost surely, 2^{123236424632321} is an apocalyptic number.

123236424632321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123236424632321 is a deficient number, since it is larger than the sum of its proper divisors (47390877855685).

123236424632321 is a wasteful number, since it uses less digits than its factorization.

123236424632321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122990383 (or 122990352 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 44.

The spelling of 123236424632321 in words is "one hundred twenty-three trillion, two hundred thirty-six billion, four hundred twenty-four million, six hundred thirty-two thousand, three hundred twenty-one".