120373779456000 has 1344 divisors, whose sum is σ = 517761626765760. Its totient is φ = 27513697075200.

The previous prime is 120373779455981. The next prime is 120373779456013. The reversal of 120373779456000 is 654977373021.

120373779456000 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 7 + 3 + 7 + 79 + 4 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 1354707574 + ... + 1354796426.

Almost surely, 2^{120373779456000} is an apocalyptic number.

120373779456000 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 120373779456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258880813382880).

120373779456000 is an abundant number, since it is smaller than the sum of its proper divisors (397387847309760).

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

120373779456000 is an frugal number, since it uses more digits than its factorization.

120373779456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88917 (or 88870 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 120373779456000 in words is "one hundred twenty trillion, three hundred seventy-three billion, seven hundred seventy-nine million, four hundred fifty-six thousand".