22131077904000 has 1280 divisors, whose sum is σ = 93726327895200. Its totient is φ = 5127133593600.

The previous prime is 22131077903989. The next prime is 22131077904011. The reversal of 22131077904000 is 40977013122.

It is an interprime number because it is at equal distance from previous prime (22131077903989) and next prime (22131077904011).

It can be written as a sum of positive squares in 16 ways, for example, as 851604134976 + 21279473769024 = 922824^2 + 4612968^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 286377366 + ... + 286454634.

Almost surely, 2^{22131077904000} is an apocalyptic number.

22131077904000 is a gapful number since it is divisible by the number (20) 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 22131077904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46863163947600).

22131077904000 is an abundant number, since it is smaller than the sum of its proper divisors (71595249991200).

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

22131077904000 is a wasteful number, since it uses less digits than its factorization.

22131077904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77340 (or 77309 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 22131077904000 in words is "twenty-two trillion, one hundred thirty-one billion, seventy-seven million, nine hundred four thousand".