120311200 has 72 divisors (see below), whose sum is σ = 296816940. Its totient is φ = 47616000.

The previous prime is 120311197. The next prime is 120311201. The reversal of 120311200 is 2113021.

It can be written as a sum of positive squares in 6 ways, for example, as 60031504 + 60279696 = 7748^2 + 7764^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120311201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80056 + ... + 81544.

Almost surely, 2^120311200 is an apocalyptic number.

120311200 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 120311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148408470).

120311200 is an abundant number, since it is smaller than the sum of its proper divisors (176505740).

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

120311200 is a wasteful number, since it uses less digits than its factorization.

120311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 120311200 is about 10968.6462245803. The cubic root of 120311200 is about 493.6684274791.

Adding to 120311200 its reverse (2113021), we get a palindrome (122424221).

It can be divided in two parts, 12031 and 1200, that added together give a palindrome (13231).

The spelling of 120311200 in words is "one hundred twenty million, three hundred eleven thousand, two hundred".