312492180100 has 27 divisors (see below), whose sum is σ = 678120161551. Its totient is φ = 124994636000.

The previous prime is 312492180097. The next prime is 312492180139. The reversal of 312492180100 is 1081294213.

The square root of 312492180100 is 559010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 52685857156 + 259806322944 = 229534^2 + 509712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5562150 + ... + 5618050.

Almost surely, 2^312492180100 is an apocalyptic number.

312492180100 is the 559010-th square number.

It is an amenable number.

312492180100 is an abundant number, since it is smaller than the sum of its proper divisors (365627981451).

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

312492180100 is an frugal number, since it uses more digits than its factorization.

312492180100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111816 (or 55908 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 312492180100 in words is "three hundred twelve billion, four hundred ninety-two million, one hundred eighty thousand, one hundred".