312115120016 has 80 divisors (see below), whose sum is σ = 703528304640. Its totient is φ = 131378232960.

The previous prime is 312115120003. The next prime is 312115120019. The reversal of 312115120016 is 610021511213.

It is a junction number, because it is equal to n+sod(n) for n = 312115119973 and 312115120000.

It is not an unprimeable number, because it can be changed into a prime (312115120019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597625 + ... + 1782311.

It is an arithmetic number, because the mean of its divisors is an integer number (8794103808).

Almost surely, 2^312115120016 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 312115120016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351764152320).

312115120016 is an abundant number, since it is smaller than the sum of its proper divisors (391413184624).

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

312115120016 is a wasteful number, since it uses less digits than its factorization.

312115120016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184972 (or 184966 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 312115120016 its reverse (610021511213), we get a palindrome (922136631229).

The spelling of 312115120016 in words is "three hundred twelve billion, one hundred fifteen million, one hundred twenty thousand, sixteen".