120839846400 has 720 divisors, whose sum is σ = 532295347584. Its totient is φ = 25493667840.

The previous prime is 120839846381. The next prime is 120839846431. The reversal of 120839846400 is 4648938021.

It is a happy number.

120839846400 is a `hidden beast` number, since 1 + 20 + 83 + 98 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10477437 + ... + 10488963.

Almost surely, 2^120839846400 is an apocalyptic number.

120839846400 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 120839846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266147673792).

120839846400 is an abundant number, since it is smaller than the sum of its proper divisors (411455501184).

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

120839846400 is a wasteful number, since it uses less digits than its factorization.

120839846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11581 (or 11557 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 120839846400 in words is "one hundred twenty billion, eight hundred thirty-nine million, eight hundred forty-six thousand, four hundred".