120120043678632 has 256 divisors, whose sum is σ = 343586580480000. Its totient is φ = 38867321076480.

The previous prime is 120120043678499. The next prime is 120120043678669. The reversal of 120120043678632 is 236876340021021.

120120043678632 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 0 + 0 + 4 + 3 + 6 + 7 + 8 + 632 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2380522219 + ... + 2380572677.

It is an arithmetic number, because the mean of its divisors is an integer number (1342135080000).

Almost surely, 2^{120120043678632} is an apocalyptic number.

120120043678632 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 120120043678632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171793290240000).

120120043678632 is an abundant number, since it is smaller than the sum of its proper divisors (223466536801368).

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

120120043678632 is a wasteful number, since it uses less digits than its factorization.

120120043678632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52901 (or 52891 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

Adding to 120120043678632 its reverse (236876340021021), we get a palindrome (356996383699653).

The spelling of 120120043678632 in words is "one hundred twenty trillion, one hundred twenty billion, forty-three million, six hundred seventy-eight thousand, six hundred thirty-two".