21120120211200 has 432 divisors, whose sum is σ = 71629769422176. Its totient is φ = 5477046681600.

The previous prime is 21120120211181. The next prime is 21120120211219. The reversal of 21120120211200 is 211202102112.

It is an interprime number because it is at equal distance from previous prime (21120120211181) and next prime (21120120211219).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21120120211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246350742 + ... + 246436458.

Almost surely, 2^{21120120211200} is an apocalyptic number.

21120120211200 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 21120120211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35814884711088).

21120120211200 is an abundant number, since it is smaller than the sum of its proper divisors (50509649210976).

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

21120120211200 is a wasteful number, since it uses less digits than its factorization.

21120120211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86100 (or 86081 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21120120211200 its reverse (211202102112), we get a palindrome (21331322313312).

The spelling of 21120120211200 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty million, two hundred eleven thousand, two hundred".