120984192 has 160 divisors (see below), whose sum is σ = 411729120. Its totient is φ = 34546176.

The previous prime is 120984179. The next prime is 120984211. The reversal of 120984192 is 291489021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71743 + ... + 73409.

It is an arithmetic number, because the mean of its divisors is an integer number (2573307).

Almost surely, 2^120984192 is an apocalyptic number.

120984192 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 120984192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205864560).

120984192 is an abundant number, since it is smaller than the sum of its proper divisors (290744928).

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

120984192 is an equidigital number, since it uses as much as digits as its factorization.

120984192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1679 counting only the distinct ones).

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

The square root of 120984192 is about 10999.2814310754. The cubic root of 120984192 is about 494.5872040617.

It can be divided in two parts, 12098 and 4192, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 120984192 in words is "one hundred twenty million, nine hundred eighty-four thousand, one hundred ninety-two".