120013200 has 360 divisors, whose sum is σ = 461441448. Its totient is φ = 28753920.

The previous prime is 120013193. The next prime is 120013211. The reversal of 120013200 is 2310021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 242064 + 119771136 = 492^2 + 10944^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2264374 + ... + 2264426.

Almost surely, 2^120013200 is an apocalyptic number.

120013200 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 120013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230720724).

120013200 is an abundant number, since it is smaller than the sum of its proper divisors (341428248).

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

120013200 is a wasteful number, since it uses less digits than its factorization.

120013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120013200 is about 10955.0536283489. The cubic root of 120013200 is about 493.2604997582.

Adding to 120013200 its reverse (2310021), we get a palindrome (122323221).

It can be divided in two parts, 1200 and 13200, that added together give a square (14400 = 120²).

The spelling of 120013200 in words is "one hundred twenty million, thirteen thousand, two hundred".