120354984 has 72 divisors (see below), whose sum is σ = 338628810. Its totient is φ = 40100832.

The previous prime is 120354887. The next prime is 120355007. The reversal of 120354984 is 489453021.

It can be written as a sum of positive squares in only one way, i.e., 110880900 + 9474084 = 10530^2 + 3078^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51342 + ... + 53634.

Almost surely, 2^120354984 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 120354984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169314405).

120354984 is an abundant number, since it is smaller than the sum of its proper divisors (218273826).

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

120354984 is an frugal number, since it uses more digits than its factorization.

120354984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 120354984 is about 10970.6419137624. The cubic root of 120354984 is about 493.7283059635.

The spelling of 120354984 in words is "one hundred twenty million, three hundred fifty-four thousand, nine hundred eighty-four".