120111300 has 108 divisors (see below), whose sum is σ = 378566916. Its totient is φ = 31852800.

The previous prime is 120111283. The next prime is 120111319. The reversal of 120111300 is 3111021.

It can be written as a sum of positive squares in 6 ways, for example, as 58614336 + 61496964 = 7656^2 + 7842^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 285090 + ... + 285510.

Almost surely, 2^120111300 is an apocalyptic number.

120111300 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 120111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189283458).

120111300 is an abundant number, since it is smaller than the sum of its proper divisors (258455616).

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

120111300 is a wasteful number, since it uses less digits than its factorization.

120111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 120111300 is about 10959.5300994158. The cubic root of 120111300 is about 493.3948618575.

Adding to 120111300 its reverse (3111021), we get a palindrome (123222321).

The spelling of 120111300 in words is "one hundred twenty million, one hundred eleven thousand, three hundred".