313122000120 has 256 divisors, whose sum is σ = 975399321600. Its totient is φ = 80350341120.

The previous prime is 313122000109. The next prime is 313122000193. The reversal of 313122000120 is 21000221313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313122000120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237392821 + ... + 237394139.

It is an arithmetic number, because the mean of its divisors is an integer number (3810153600).

Almost surely, 2^313122000120 is an apocalyptic number.

313122000120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313122000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487699660800).

313122000120 is an abundant number, since it is smaller than the sum of its proper divisors (662277321480).

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

313122000120 is a wasteful number, since it uses less digits than its factorization.

313122000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 313122000120 its reverse (21000221313), we get a palindrome (334122221433).

The spelling of 313122000120 in words is "three hundred thirteen billion, one hundred twenty-two million, one hundred twenty", and thus it is an aban number.