120211300 has 72 divisors (see below), whose sum is σ = 287606592. Its totient is φ = 43248000.

The previous prime is 120211283. The next prime is 120211313. The reversal of 120211300 is 3112021.

120211300 = 1125² + 1126² + ... + 1212².

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 112770 + ... + 113830.

It is an arithmetic number, because the mean of its divisors is an integer number (3994536).

Almost surely, 2^120211300 is an apocalyptic number.

120211300 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 120211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143803296).

120211300 is an abundant number, since it is smaller than the sum of its proper divisors (167395292).

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

120211300 is a wasteful number, since it uses less digits than its factorization.

120211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1182 counting only the distinct ones).

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

The square root of 120211300 is about 10964.0913896228. The cubic root of 120211300 is about 493.5317510034.

Adding to 120211300 its reverse (3112021), we get a palindrome (123323321).

The spelling of 120211300 in words is "one hundred twenty million, two hundred eleven thousand, three hundred".