120880024574400 has 3024 divisors, whose sum is σ = 566362414485504. Its totient is φ = 24811556290560.

The previous prime is 120880024574357. The next prime is 120880024574417. The reversal of 120880024574400 is 4475420088021.

120880024574400 is a `hidden beast` number, since 12 + 0 + 8 + 8 + 0 + 0 + 24 + 574 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×120880024574400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17018161249 + ... + 17018168351.

Almost surely, 2^{120880024574400} is an apocalyptic number.

120880024574400 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 120880024574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283181207242752).

120880024574400 is an abundant number, since it is smaller than the sum of its proper divisors (445482389911104).

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

120880024574400 is a wasteful number, since it uses less digits than its factorization.

120880024574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7210 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 120880024574400 in words is "one hundred twenty trillion, eight hundred eighty billion, twenty-four million, five hundred seventy-four thousand, four hundred".