3072122874900 has 180 divisors, whose sum is σ = 10279854963840. Its totient is φ = 792805838400.

The previous prime is 3072122874883. The next prime is 3072122874907. The reversal of 3072122874900 is 94782212703.

3072122874900 is a `hidden beast` number, since 3 + 0 + 72 + 12 + 2 + 87 + 490 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3072122874907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5866230 + ... + 6368429.

Almost surely, 2^{3072122874900} is an apocalyptic number.

3072122874900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3072122874900 is an abundant number, since it is smaller than the sum of its proper divisors (7207732088940).

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

3072122874900 is a wasteful number, since it uses less digits than its factorization.

3072122874900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234716 (or 12234700 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 3072122874900 in words is "three trillion, seventy-two billion, one hundred twenty-two million, eight hundred seventy-four thousand, nine hundred".