120120009984 has 216 divisors, whose sum is σ = 375054373512. Its totient is φ = 36754145280.

The previous prime is 120120009983. The next prime is 120120010033. The reversal of 120120009984 is 489900021021.

It can be written as a sum of positive squares in 4 ways, for example, as 348643584 + 119771366400 = 18672^2 + 346080^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120009983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5410234 + ... + 5432390.

Almost surely, 2^120120009984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187527186756).

120120009984 is an abundant number, since it is smaller than the sum of its proper divisors (254934363528).

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

120120009984 is a wasteful number, since it uses less digits than its factorization.

120120009984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22373 (or 22356 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 120120009984 in words is "one hundred twenty billion, one hundred twenty million, nine thousand, nine hundred eighty-four".