21200022020240 has 320 divisors, whose sum is σ = 57614312448000. Its totient is φ = 7105062666240.

The previous prime is 21200022020239. The next prime is 21200022020249. The reversal of 21200022020240 is 4202022000212.

It is not an unprimeable number, because it can be changed into a prime (21200022020249) by changing a digit.

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, 2355815261 + ... + 2355824259.

It is an arithmetic number, because the mean of its divisors is an integer number (180044726400).

Almost surely, 2^{21200022020240} is an apocalyptic number.

21200022020240 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 21200022020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28807156224000).

21200022020240 is an abundant number, since it is smaller than the sum of its proper divisors (36414290427760).

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

21200022020240 is a wasteful number, since it uses less digits than its factorization.

21200022020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9590 (or 9584 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 21200022020240 its reverse (4202022000212), we get a palindrome (25402044020452).

The spelling of 21200022020240 in words is "twenty-one trillion, two hundred billion, twenty-two million, twenty thousand, two hundred forty".