120892320 has 144 divisors (see below), whose sum is σ = 423881640. Its totient is φ = 31352832.

The previous prime is 120892297. The next prime is 120892333. The reversal of 120892320 is 23298021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 90554256 + 30338064 = 9516^2 + 5508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×120892320² = 29229906069964800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 52146 + ... + 54414.

Almost surely, 2^120892320 is an apocalyptic number.

120892320 is a gapful number since it is divisible by the number (10) 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 120892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211940820).

120892320 is an abundant number, since it is smaller than the sum of its proper divisors (302989320).

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

120892320 is a wasteful number, since it uses less digits than its factorization.

120892320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120892320 is about 10995.1043651254. The cubic root of 120892320 is about 494.4619804785.

It can be divided in two parts, 1208 and 92320, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 120892320 in words is "one hundred twenty million, eight hundred ninety-two thousand, three hundred twenty".