240021525142120 has 128 divisors (see below), whose sum is σ = 567328572080640. Its totient is φ = 91215245721600.

The previous prime is 240021525142117. The next prime is 240021525142171. The reversal of 240021525142120 is 21241525120042.

It is a super-2 number, since 2×240021525142120² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213645164 + ... + 1213842916.

It is an arithmetic number, because the mean of its divisors is an integer number (4432254469380).

Almost surely, 2^{240021525142120} is an apocalyptic number.

240021525142120 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 240021525142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283664286040320).

240021525142120 is an abundant number, since it is smaller than the sum of its proper divisors (327307046938520).

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

240021525142120 is a wasteful number, since it uses less digits than its factorization.

240021525142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206675 (or 206671 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 240021525142120 in words is "two hundred forty trillion, twenty-one billion, five hundred twenty-five million, one hundred forty-two thousand, one hundred twenty".