22901317125120 has 1056 divisors, whose sum is σ = 96089804991360. Its totient is φ = 5156356423680.

The previous prime is 22901317125119. The next prime is 22901317125121. The reversal of 22901317125120 is 2152171310922.

22901317125120 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 131 + 7 + 1 + 2 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22901317125119) and next prime (22901317125121).

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 (22901317125121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 453816690 + ... + 453867150.

Almost surely, 2^{22901317125120} is an apocalyptic number.

22901317125120 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 22901317125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48044902495680).

22901317125120 is an abundant number, since it is smaller than the sum of its proper divisors (73188487866240).

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

22901317125120 is a wasteful number, since it uses less digits than its factorization.

22901317125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50576 (or 50545 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 22901317125120 in words is "twenty-two trillion, nine hundred one billion, three hundred seventeen million, one hundred twenty-five thousand, one hundred twenty".