120552320 has 128 divisors (see below), whose sum is σ = 334886400. Its totient is φ = 40642560.

The previous prime is 120552307. The next prime is 120552373. The reversal of 120552320 is 23255021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120552292 and 120552301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317891 + ... + 318269.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^120552320 is an apocalyptic number.

120552320 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 120552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167443200).

120552320 is an abundant number, since it is smaller than the sum of its proper divisors (214334080).

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

120552320 is an equidigital number, since it uses as much as digits as its factorization.

120552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 120552320 is about 10979.6320521227. The cubic root of 120552320 is about 493.9980002869.

The spelling of 120552320 in words is "one hundred twenty million, five hundred fifty-two thousand, three hundred twenty".