119959200 has 108 divisors (see below), whose sum is σ = 423031518. Its totient is φ = 31987200.

The previous prime is 119959199. The next prime is 119959201. The reversal of 119959200 is 2959911.

It is an interprime number because it is at equal distance from previous prime (119959199) and next prime (119959201).

It can be written as a sum of positive squares in 3 ways, for example, as 88284816 + 31674384 = 9396^2 + 5628^2 .

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

It is not an unprimeable number, because it can be changed into a prime (119959201) by changing a digit.

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, 1131 + ... + 15530.

Almost surely, 2^119959200 is an apocalyptic number.

119959200 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 119959200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211515759).

119959200 is an abundant number, since it is smaller than the sum of its proper divisors (303072318).

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

119959200 is a wasteful number, since it uses less digits than its factorization.

119959200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16687 (or 16671 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 119959200 is about 10952.5887350891. The cubic root of 119959200 is about 493.1865077225.

The spelling of 119959200 in words is "one hundred nineteen million, nine hundred fifty-nine thousand, two hundred".