120880742400 has 810 divisors, whose sum is σ = 477707733776. Its totient is φ = 29196288000.

The previous prime is 120880742387. The next prime is 120880742407. The reversal of 120880742400 is 4247088021.

120880742400 is a `hidden beast` number, since 1 + 208 + 8 + 0 + 7 + 42 + 400 = 666.

It is a super-2 number, since 2×120880742400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120880742407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 446054265 + ... + 446054535.

Almost surely, 2^120880742400 is an apocalyptic number.

120880742400 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 120880742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238853866888).

120880742400 is an abundant number, since it is smaller than the sum of its proper divisors (356826991376).

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

120880742400 is a wasteful number, since it uses less digits than its factorization.

120880742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 120880742400 in words is "one hundred twenty billion, eight hundred eighty million, seven hundred forty-two thousand, four hundred".