312113012120 has 128 divisors (see below), whose sum is σ = 864501120000. Its totient is φ = 98757121536.

The previous prime is 312113012119. The next prime is 312113012137. The reversal of 312113012120 is 21210311213.

It is a super-3 number, since 3×312113012120³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29722631 + ... + 29733129.

It is an arithmetic number, because the mean of its divisors is an integer number (6753915000).

Almost surely, 2^312113012120 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 312113012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432250560000).

312113012120 is an abundant number, since it is smaller than the sum of its proper divisors (552388107880).

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

312113012120 is a wasteful number, since it uses less digits than its factorization.

312113012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18697 (or 18693 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 312113012120 its reverse (21210311213), we get a palindrome (333323323333).

The spelling of 312113012120 in words is "three hundred twelve billion, one hundred thirteen million, twelve thousand, one hundred twenty".