120127909446720 has 2688 divisors, whose sum is σ = 529795014819840. Its totient is φ = 25048225382400.

The previous prime is 120127909446709. The next prime is 120127909446733. The reversal of 120127909446720 is 27644909721021.

120127909446720 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 7 + 90 + 94 + 467 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 97585628505 + ... + 97585629735.

It is an arithmetic number, because the mean of its divisors is an integer number (197096359680).

Almost surely, 2^{120127909446720} is an apocalyptic number.

120127909446720 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 120127909446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264897507409920).

120127909446720 is an abundant number, since it is smaller than the sum of its proper divisors (409667105373120).

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

120127909446720 is a wasteful number, since it uses less digits than its factorization.

120127909446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 120127909446720 in words is "one hundred twenty trillion, one hundred twenty-seven billion, nine hundred nine million, four hundred forty-six thousand, seven hundred twenty".