21200212021200 has 240 divisors, whose sum is σ = 69313988817216. Its totient is φ = 5536998604800.

The previous prime is 21200212021193. The next prime is 21200212021229. The reversal of 21200212021200 is 212021200212.

It is a tau number, because it is divible by the number of its divisors (240).

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 21200212021200.

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, 36023712 + ... + 36607488.

Almost surely, 2^{21200212021200} is an apocalyptic number.

21200212021200 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 21200212021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34656994408608).

21200212021200 is an abundant number, since it is smaller than the sum of its proper divisors (48113776796016).

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

21200212021200 is a wasteful number, since it uses less digits than its factorization.

21200212021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584422 (or 584411 counting only the distinct ones).

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

Adding to 21200212021200 its reverse (212021200212), we get a palindrome (21412233221412).

The spelling of 21200212021200 in words is "twenty-one trillion, two hundred billion, two hundred twelve million, twenty-one thousand, two hundred".