120944734560 has 576 divisors, whose sum is σ = 466027406208. Its totient is φ = 28339863552.

The previous prime is 120944734543. The next prime is 120944734609. The reversal of 120944734560 is 65437449021.

120944734560 is a `hidden beast` number, since 1 + 209 + 4 + 47 + 345 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 110653374 + ... + 110654466.

It is an arithmetic number, because the mean of its divisors is an integer number (809075358).

Almost surely, 2^120944734560 is an apocalyptic number.

120944734560 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 120944734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233013703104).

120944734560 is an abundant number, since it is smaller than the sum of its proper divisors (345082671648).

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

120944734560 is a wasteful number, since it uses less digits than its factorization.

120944734560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 120944734560 in words is "one hundred twenty billion, nine hundred forty-four million, seven hundred thirty-four thousand, five hundred sixty".