120409209984 has 288 divisors, whose sum is σ = 384501913200. Its totient is φ = 33287869440.

The previous prime is 120409209961. The next prime is 120409209997. The reversal of 120409209984 is 489902904021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18078847 + ... + 18085505.

Almost surely, 2^120409209984 is an apocalyptic number.

120409209984 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 120409209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192250956600).

120409209984 is an abundant number, since it is smaller than the sum of its proper divisors (264092703216).

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

120409209984 is an equidigital number, since it uses as much as digits as its factorization.

120409209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6752 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 120409209984 in words is "one hundred twenty billion, four hundred nine million, two hundred nine thousand, nine hundred eighty-four".