313012120212 has 144 divisors (see below), whose sum is σ = 874453664448. Its totient is φ = 93612879360.

The previous prime is 313012120189. The next prime is 313012120229. The reversal of 313012120212 is 212021210313.

313012120212 is a `hidden beast` number, since 31 + 301 + 2 + 120 + 212 = 666.

It is a super-2 number, since 2×313012120212² (a number of 24 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 35920368 + ... + 35929080.

It is an arithmetic number, because the mean of its divisors is an integer number (6072594892).

Almost surely, 2^313012120212 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 313012120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437226832224).

313012120212 is an abundant number, since it is smaller than the sum of its proper divisors (561441544236).

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

313012120212 is a wasteful number, since it uses less digits than its factorization.

313012120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910 (or 9905 counting only the distinct ones).

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

Adding to 313012120212 its reverse (212021210313), we get a palindrome (525033330525).

The spelling of 313012120212 in words is "three hundred thirteen billion, twelve million, one hundred twenty thousand, two hundred twelve".