312666127100 has 144 divisors (see below), whose sum is σ = 719516614656. Its totient is φ = 117740736000.

The previous prime is 312666127019. The next prime is 312666127157. The reversal of 312666127100 is 1721666213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46642349 + ... + 46649051.

Almost surely, 2^312666127100 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 312666127100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359758307328).

312666127100 is an abundant number, since it is smaller than the sum of its proper divisors (406850487556).

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

312666127100 is a wasteful number, since it uses less digits than its factorization.

312666127100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 312666127100 in words is "three hundred twelve billion, six hundred sixty-six million, one hundred twenty-seven thousand, one hundred".