210120111200 has 144 divisors (see below), whose sum is σ = 523750446576. Its totient is φ = 82286131200.

The previous prime is 210120111169. The next prime is 210120111209. The reversal of 210120111200 is 2111021012.

It is a super-2 number, since 2×210120111200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120111209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20813354 + ... + 20823446.

It is an arithmetic number, because the mean of its divisors is an integer number (3637155879).

Almost surely, 2^210120111200 is an apocalyptic number.

210120111200 is a gapful number since it is divisible by the number (20) 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 210120111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261875223288).

210120111200 is an abundant number, since it is smaller than the sum of its proper divisors (313630335376).

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

210120111200 is a wasteful number, since it uses less digits than its factorization.

210120111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10657 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210120111200 its reverse (2111021012), we get a palindrome (212231132212).

The spelling of 210120111200 in words is "two hundred ten billion, one hundred twenty million, one hundred eleven thousand, two hundred".