312120213120 has 96 divisors (see below), whose sum is σ = 1077790130820. Its totient is φ = 83232055296.

The previous prime is 312120213113. The next prime is 312120213151. The reversal of 312120213120 is 21312021213.

312120213120 is a `hidden beast` number, since 312 + 1 + 20 + 21 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 268912770624 + 43207442496 = 518568^2 + 207864^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312120213093 and 312120213102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27088009 + ... + 27099528.

Almost surely, 2^312120213120 is an apocalyptic number.

312120213120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312120213120 is an abundant number, since it is smaller than the sum of its proper divisors (765669917700).

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

312120213120 is a wasteful number, since it uses less digits than its factorization.

312120213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54187562 (or 54187547 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312120213120 its reverse (21312021213), we get a palindrome (333432234333).

The spelling of 312120213120 in words is "three hundred twelve billion, one hundred twenty million, two hundred thirteen thousand, one hundred twenty".