120582672084 has 144 divisors (see below), whose sum is σ = 369653892608. Its totient is φ = 33650896608.

The previous prime is 120582672059. The next prime is 120582672187. The reversal of 120582672084 is 480276285021.

120582672084 is a `hidden beast` number, since 1 + 2 + 0 + 582 + 67 + 2 + 0 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86499 + ... + 498645.

Almost surely, 2^120582672084 is an apocalyptic number.

120582672084 is a gapful number since it is divisible by the number (14) 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 120582672084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184826946304).

120582672084 is an abundant number, since it is smaller than the sum of its proper divisors (249071220524).

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

120582672084 is a wasteful number, since it uses less digits than its factorization.

120582672084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412216 (or 412202 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 120582672084 in words is "one hundred twenty billion, five hundred eighty-two million, six hundred seventy-two thousand, eighty-four".