21200002122120 has 256 divisors, whose sum is σ = 68638246871040. Its totient is φ = 5218378334208.

The previous prime is 21200002121981. The next prime is 21200002122157. The reversal of 21200002122120 is 2122120000212.

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 21200002122120.

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 63 ways as a sum of consecutive naturals, for example, 290481954 + ... + 290554926.

It is an arithmetic number, because the mean of its divisors is an integer number (268118151840).

Almost surely, 2^{21200002122120} is an apocalyptic number.

21200002122120 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 21200002122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34319123435520).

21200002122120 is an abundant number, since it is smaller than the sum of its proper divisors (47438244748920).

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

21200002122120 is a wasteful number, since it uses less digits than its factorization.

21200002122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75744 (or 75740 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21200002122120 its reverse (2122120000212), we get a palindrome (23322122122332).

The spelling of 21200002122120 in words is "twenty-one trillion, two hundred billion, two million, one hundred twenty-two thousand, one hundred twenty".