21220021003200 has 336 divisors, whose sum is σ = 74647727239680. Its totient is φ = 5258392289280.

The previous prime is 21220021003193. The next prime is 21220021003211. The reversal of 21220021003200 is 230012002212.

It is a happy number.

It is a super-3 number, since 3×21220021003200³ (a number of 41 digits) contains 333 as substring.

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 21220021003200.

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, 4800519 + ... + 8092281.

It is an arithmetic number, because the mean of its divisors is an integer number (222165854880).

Almost surely, 2^{21220021003200} is an apocalyptic number.

21220021003200 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 21220021003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37323863619840).

21220021003200 is an abundant number, since it is smaller than the sum of its proper divisors (53427706236480).

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

21220021003200 is a wasteful number, since it uses less digits than its factorization.

21220021003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291884 (or 3291869 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21220021003200 its reverse (230012002212), we get a palindrome (21450033005412).

The spelling of 21220021003200 in words is "twenty-one trillion, two hundred twenty billion, twenty-one million, three thousand, two hundred".