21200211211120 has 40 divisors (see below), whose sum is σ = 49290772956480. Its totient is φ = 8480035987200.

The previous prime is 21200211211043. The next prime is 21200211211163. The reversal of 21200211211120 is 2111211200212.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21200211211094 and 21200211211103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15479161 + ... + 16792999.

It is an arithmetic number, because the mean of its divisors is an integer number (1232269323912).

Almost surely, 2^{21200211211120} is an apocalyptic number.

21200211211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200211211120 is an abundant number, since it is smaller than the sum of its proper divisors (28090561745360).

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

21200211211120 is a wasteful number, since it uses less digits than its factorization.

21200211211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515553 (or 1515547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21200211211120 its reverse (2111211200212), we get a palindrome (23311422411332).

The spelling of 21200211211120 in words is "twenty-one trillion, two hundred billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".