120311120 has 40 divisors (see below), whose sum is σ = 281372616. Its totient is φ = 47840768.

The previous prime is 120311101. The next prime is 120311129. The reversal of 120311120 is 21113021.

It can be written as a sum of positive squares in 4 ways, for example, as 9388096 + 110923024 = 3064^2 + 10532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120311129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9494 + ... + 18186.

Almost surely, 2^120311120 is an apocalyptic number.

120311120 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 120311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140686308).

120311120 is an abundant number, since it is smaller than the sum of its proper divisors (161061496).

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

120311120 is a wasteful number, since it uses less digits than its factorization.

120311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8879 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 120311120 is about 10968.6425778216. The cubic root of 120311120 is about 493.6683180588.

Adding to 120311120 its reverse (21113021), we get a palindrome (141424141).

The spelling of 120311120 in words is "one hundred twenty million, three hundred eleven thousand, one hundred twenty".