22979727120 has 320 divisors, whose sum is σ = 84310032384. Its totient is φ = 5066772480.

The previous prime is 22979727097. The next prime is 22979727143. The reversal of 22979727120 is 2172797922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22979727097) and next prime (22979727143).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22979727120.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 24112564 + ... + 24113516.

Almost surely, 2^22979727120 is an apocalyptic number.

22979727120 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 22979727120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42155016192).

22979727120 is an abundant number, since it is smaller than the sum of its proper divisors (61330305264).

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

22979727120 is a wasteful number, since it uses less digits than its factorization.

22979727120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 48.

The spelling of 22979727120 in words is "twenty-two billion, nine hundred seventy-nine million, seven hundred twenty-seven thousand, one hundred twenty".