120224360642560 has 192 divisors, whose sum is σ = 293472608738400. Its totient is φ = 47256083890176.

The previous prime is 120224360642557. The next prime is 120224360642579. The reversal of 120224360642560 is 65246063422021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1590715492 + ... + 1590791068.

Almost surely, 2^{120224360642560} is an apocalyptic number.

120224360642560 is a gapful number since it is divisible by the number (10) 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 120224360642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146736304369200).

120224360642560 is an abundant number, since it is smaller than the sum of its proper divisors (173248248095840).

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

120224360642560 is an equidigital number, since it uses as much as digits as its factorization.

120224360642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78296 (or 78276 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 120224360642560 in words is "one hundred twenty trillion, two hundred twenty-four billion, three hundred sixty million, six hundred forty-two thousand, five hundred sixty".