3012164800020 has 384 divisors, whose sum is σ = 9809547148800. Its totient is φ = 766576742400.

The previous prime is 3012164799953. The next prime is 3012164800111. The reversal of 3012164800020 is 200084612103.

3012164800020 is a `hidden beast` number, since 3 + 0 + 12 + 1 + 648 + 0 + 0 + 0 + 2 + 0 = 666.

It is a super-4 number, since 4×3012164800020⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 461914360 + ... + 461920880.

It is an arithmetic number, because the mean of its divisors is an integer number (25545695700).

Almost surely, 2^{3012164800020} is an apocalyptic number.

3012164800020 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 3012164800020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904773574400).

3012164800020 is an abundant number, since it is smaller than the sum of its proper divisors (6797382348780).

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

3012164800020 is a wasteful number, since it uses less digits than its factorization.

3012164800020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7016 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 3012164800020 in words is "three trillion, twelve billion, one hundred sixty-four million, eight hundred thousand, twenty".