3120415470720 has 128 divisors (see below), whose sum is σ = 11051471520000. Its totient is φ = 832110787584.

The previous prime is 3120415470691. The next prime is 3120415470727. The reversal of 3120415470720 is 270745140213.

3120415470720 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 41 + 547 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (3120415470727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90272520 + ... + 90307079.

It is an arithmetic number, because the mean of its divisors is an integer number (86339621250).

Almost surely, 2^{3120415470720} is an apocalyptic number.

3120415470720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3120415470720 is an abundant number, since it is smaller than the sum of its proper divisors (7931056049280).

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

3120415470720 is a wasteful number, since it uses less digits than its factorization.

3120415470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180579627 (or 180579609 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 3120415470720 in words is "three trillion, one hundred twenty billion, four hundred fifteen million, four hundred seventy thousand, seven hundred twenty".