120645580188672 has 2376 divisors, whose sum is σ = 462707469619200. Its totient is φ = 29935683993600.

The previous prime is 120645580188643. The next prime is 120645580188677. The reversal of 120645580188672 is 276881085546021.

120645580188672 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 4 + 558 + 0 + 1 + 8 + 8 + 6 + 72 = 666.

It is a super-2 number, since 2×120645580188672² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (120645580188677) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 606259196829 + ... + 606259197027.

Almost surely, 2^{120645580188672} is an apocalyptic number.

120645580188672 is a gapful number since it is divisible by the number (12) 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 120645580188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231353734809600).

120645580188672 is an abundant number, since it is smaller than the sum of its proper divisors (342061889430528).

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

120645580188672 is a wasteful number, since it uses less digits than its factorization.

120645580188672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 120645580188672 in words is "one hundred twenty trillion, six hundred forty-five billion, five hundred eighty million, one hundred eighty-eight thousand, six hundred seventy-two".