312132400441020 has 144 divisors (see below), whose sum is σ = 947129324424192. Its totient is φ = 83206502691840.

The previous prime is 312132400441013. The next prime is 312132400441063. The reversal of 312132400441020 is 20144004231213.

312132400441020 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 240 + 0 + 4 + 410 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6855058174 + ... + 6855103706.

It is an arithmetic number, because the mean of its divisors is an integer number (6577286975168).

Almost surely, 2^{312132400441020} is an apocalyptic number.

312132400441020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312132400441020 is an abundant number, since it is smaller than the sum of its proper divisors (634996923983172).

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

312132400441020 is a wasteful number, since it uses less digits than its factorization.

312132400441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57892 (or 57887 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312132400441020 its reverse (20144004231213), we get a palindrome (332276404672233).

The spelling of 312132400441020 in words is "three hundred twelve trillion, one hundred thirty-two billion, four hundred million, four hundred forty-one thousand, twenty".