120874997219328 has 2688 divisors, whose sum is σ = 438992981683200. Its totient is φ = 33108590592000.

The previous prime is 120874997219267. The next prime is 120874997219371. The reversal of 120874997219328 is 823912799478021.

120874997219328 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 7 + 499 + 7 + 21 + 93 + 28 = 666.

It is a super-2 number, since 2×120874997219328² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1702464749533 + ... + 1702464749603.

It is an arithmetic number, because the mean of its divisors is an integer number (163315841400).

Almost surely, 2^{120874997219328} is an apocalyptic number.

120874997219328 is a gapful number since it is divisible by the number (18) 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 120874997219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219496490841600).

120874997219328 is an abundant number, since it is smaller than the sum of its proper divisors (318117984463872).

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

120874997219328 is an frugal number, since it uses more digits than its factorization.

120874997219328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 120874997219328 in words is "one hundred twenty trillion, eight hundred seventy-four billion, nine hundred ninety-seven million, two hundred nineteen thousand, three hundred twenty-eight".