312105540000 has 480 divisors, whose sum is σ = 1065996771840. Its totient is φ = 79833600000.

The previous prime is 312105539959. The next prime is 312105540007. The reversal of 312105540000 is 45501213.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (312105540007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 314939505 + ... + 314940495.

It is an arithmetic number, because the mean of its divisors is an integer number (2220826608).

Almost surely, 2^312105540000 is an apocalyptic number.

312105540000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312105540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532998385920).

312105540000 is an abundant number, since it is smaller than the sum of its proper divisors (753891231840).

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

312105540000 is a wasteful number, since it uses less digits than its factorization.

312105540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 312105540000 in words is "three hundred twelve billion, one hundred five million, five hundred forty thousand".