32142624123 has 16 divisors (see below), whose sum is σ = 43310825600. Its totient is φ = 21201543936.

The previous prime is 32142624109. The next prime is 32142624139.

32142624123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32142624123 - 2³² = 27847656827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32142624023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179336 + ... + 1206282.

It is an arithmetic number, because the mean of its divisors is an integer number (2706926600).

Almost surely, 2^32142624123 is an apocalyptic number.

32142624123 is a deficient number, since it is larger than the sum of its proper divisors (11168201477).

32142624123 is a wasteful number, since it uses less digits than its factorization.

32142624123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31146.

The product of its digits is 13824, while the sum is 30.

The spelling of 32142624123 in words is "thirty-two billion, one hundred forty-two million, six hundred twenty-four thousand, one hundred twenty-three".