431100442122000 has 160 divisors (see below), whose sum is σ = 1588420372041984. Its totient is φ = 98537243904000.

The previous prime is 431100442121977. The next prime is 431100442122011. The reversal of 431100442122000 is 221244001134.

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 31 ways as a sum of consecutive naturals, for example, 5132106121 + ... + 5132190120.

Almost surely, 2^{431100442122000} is an apocalyptic number.

431100442122000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431100442122000 is an abundant number, since it is smaller than the sum of its proper divisors (1157319929919984).

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

431100442122000 is a wasteful number, since it uses less digits than its factorization.

431100442122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10264296274 (or 10264296258 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 431100442122000 its reverse (221244001134), we get a palindrome (431321686123134).

The spelling of 431100442122000 in words is "four hundred thirty-one trillion, one hundred billion, four hundred forty-two million, one hundred twenty-two thousand".