312112003120000 has 160 divisors (see below), whose sum is σ = 777070272852720. Its totient is φ = 124830830592000.

The previous prime is 312112003119991. The next prime is 312112003120067. The reversal of 312112003120000 is 21300211213.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×312112003120000⁴ (a number of 59 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 729946272 + ... + 730373728.

Almost surely, 2^{312112003120000} 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 312112003120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388535136426360).

312112003120000 is an abundant number, since it is smaller than the sum of its proper divisors (464958269732720).

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

312112003120000 is an frugal number, since it uses more digits than its factorization.

312112003120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436618 (or 436591 counting only the distinct ones).

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

Adding to 312112003120000 its reverse (21300211213), we get a palindrome (312133303331213).

The spelling of 312112003120000 in words is "three hundred twelve trillion, one hundred twelve billion, three million, one hundred twenty thousand".