3112423249680 has 60 divisors (see below), whose sum is σ = 10452554749260. Its totient is φ = 829979533056.

The previous prime is 3112423249633. The next prime is 3112423249699. The reversal of 3112423249680 is 869423242113.

3112423249680 is a `hidden beast` number, since 3 + 1 + 1 + 242 + 324 + 9 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 639277004304 + 2473146245376 = 799548^2 + 1572624^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3112423249680² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2161404315 + ... + 2161405754.

It is an arithmetic number, because the mean of its divisors is an integer number (174209245821).

Almost surely, 2^{3112423249680} is an apocalyptic number.

3112423249680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3112423249680 is an abundant number, since it is smaller than the sum of its proper divisors (7340131499580).

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

3112423249680 is a wasteful number, since it uses less digits than its factorization.

3112423249680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322810088 (or 4322810079 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3112423249680 in words is "three trillion, one hundred twelve billion, four hundred twenty-three million, two hundred forty-nine thousand, six hundred eighty".