120198560 has 72 divisors (see below), whose sum is σ = 299845476. Its totient is φ = 45527040.

The previous prime is 120198553. The next prime is 120198569. The reversal of 120198560 is 65891021.

It can be written as a sum of positive squares in 2 ways, for example, as 118113424 + 2085136 = 10868^2 + 1444^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120198569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56720 + ... + 58800.

Almost surely, 2^120198560 is an apocalyptic number.

120198560 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 120198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149922738).

120198560 is an abundant number, since it is smaller than the sum of its proper divisors (179646916).

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

120198560 is a wasteful number, since it uses less digits than its factorization.

120198560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 120198560 is about 10963.5103867329. The cubic root of 120198560 is about 493.5143155470.

The spelling of 120198560 in words is "one hundred twenty million, one hundred ninety-eight thousand, five hundred sixty".