120920719328640 has 6144 divisors, whose sum is σ = 599966399692800. Its totient is φ = 22422749184000.

The previous prime is 120920719328611. The next prime is 120920719328677. The reversal of 120920719328640 is 46823917029021.

120920719328640 is a `hidden beast` number, since 1 + 209 + 2 + 0 + 71 + 9 + 328 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 470508635392 + ... + 470508635648.

It is an arithmetic number, because the mean of its divisors is an integer number (97650781200).

Almost surely, 2^{120920719328640} is an apocalyptic number.

120920719328640 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 120920719328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299983199846400).

120920719328640 is an abundant number, since it is smaller than the sum of its proper divisors (479045680364160).

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

120920719328640 is a wasteful number, since it uses less digits than its factorization.

120920719328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 120920719328640 in words is "one hundred twenty trillion, nine hundred twenty billion, seven hundred nineteen million, three hundred twenty-eight thousand, six hundred forty".