120099646956096 has 896 divisors, whose sum is σ = 373670715801600. Its totient is φ = 38259189043200.

The previous prime is 120099646956067. The next prime is 120099646956097. The reversal of 120099646956096 is 690659646990021.

120099646956096 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 9 + 9 + 6 + 4 + 6 + 9 + 5 + 609 + 6 = 666.

It is a super-2 number, since 2×120099646956096² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (120099646956097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145929096741 + ... + 145929097563.

It is an arithmetic number, because the mean of its divisors is an integer number (417043209600).

Almost surely, 2^{120099646956096} is an apocalyptic number.

120099646956096 is a gapful number since it is divisible by the number (16) 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 120099646956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186835357900800).

120099646956096 is an abundant number, since it is smaller than the sum of its proper divisors (253571068845504).

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

120099646956096 is an frugal number, since it uses more digits than its factorization.

120099646956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 120099646956096 in words is "one hundred twenty trillion, ninety-nine billion, six hundred forty-six million, nine hundred fifty-six thousand, ninety-six".