312021313220120 has 128 divisors (see below), whose sum is σ = 830055029760000. Its totient is φ = 103283891031552.

The previous prime is 312021313220093. The next prime is 312021313220137. The reversal of 312021313220120 is 21022313120213.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 141648521 + ... + 143834439.

It is an arithmetic number, because the mean of its divisors is an integer number (6484804920000).

Almost surely, 2^{312021313220120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312021313220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415027514880000).

312021313220120 is an abundant number, since it is smaller than the sum of its proper divisors (518033716539880).

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

312021313220120 is a wasteful number, since it uses less digits than its factorization.

312021313220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203545 (or 2203541 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 312021313220120 its reverse (21022313120213), we get a palindrome (333043626340333).

The spelling of 312021313220120 in words is "three hundred twelve trillion, twenty-one billion, three hundred thirteen million, two hundred twenty thousand, one hundred twenty".