309671312112 has 320 divisors, whose sum is σ = 975807544320. Its totient is φ = 93632716800.

The previous prime is 309671312099. The next prime is 309671312123. The reversal of 309671312112 is 211213176903.

309671312112 is a `hidden beast` number, since 309 + 6 + 7 + 131 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24985437 + ... + 24997827.

It is an arithmetic number, because the mean of its divisors is an integer number (3049398576).

Almost surely, 2^309671312112 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 309671312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487903772160).

309671312112 is an abundant number, since it is smaller than the sum of its proper divisors (666136232208).

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

309671312112 is a wasteful number, since it uses less digits than its factorization.

309671312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12549 (or 12537 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 309671312112 in words is "three hundred nine billion, six hundred seventy-one million, three hundred twelve thousand, one hundred twelve".