312312001120 has 96 divisors (see below), whose sum is σ = 845903435328. Its totient is φ = 106740492288.

The previous prime is 312312001037. The next prime is 312312001217. The reversal of 312312001120 is 21100213213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312312001094 and 312312001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84787 + ... + 794866.

It is an arithmetic number, because the mean of its divisors is an integer number (8811494118).

Almost surely, 2^312312001120 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 312312001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422951717664).

312312001120 is an abundant number, since it is smaller than the sum of its proper divisors (533591434208).

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

312312001120 is a wasteful number, since it uses less digits than its factorization.

312312001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879992 (or 879984 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312312001120 its reverse (21100213213), we get a palindrome (333412214333).

The spelling of 312312001120 in words is "three hundred twelve billion, three hundred twelve million, one thousand, one hundred twenty".