312133417989120 has 5280 divisors, whose sum is σ = 1494607495062528. Its totient is φ = 61596693430272.

The previous prime is 312133417989067. The next prime is 312133417989131. The reversal of 312133417989120 is 21989714331213.

312133417989120 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 33 + 417 + 98 + 91 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 285574947294 + ... + 285574948386.

Almost surely, 2^{312133417989120} is an apocalyptic number.

312133417989120 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 312133417989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747303747531264).

312133417989120 is an abundant number, since it is smaller than the sum of its proper divisors (1182474077073408).

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

312133417989120 is a wasteful number, since it uses less digits than its factorization.

312133417989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 312133417989120 in words is "three hundred twelve trillion, one hundred thirty-three billion, four hundred seventeen million, nine hundred eighty-nine thousand, one hundred twenty".