21420302422200 has 768 divisors, whose sum is σ = 74030941716480. Its totient is φ = 5080320000000.

The previous prime is 21420302422187. The next prime is 21420302422229. The reversal of 21420302422200 is 222420302412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35641101900 + ... + 35641102500.

It is an arithmetic number, because the mean of its divisors is an integer number (96394455360).

Almost surely, 2^{21420302422200} is an apocalyptic number.

21420302422200 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 21420302422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37015470858240).

21420302422200 is an abundant number, since it is smaller than the sum of its proper divisors (52610639294280).

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

21420302422200 is a wasteful number, since it uses less digits than its factorization.

21420302422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21420302422200 its reverse (222420302412), we get a palindrome (21642722724612).

The spelling of 21420302422200 in words is "twenty-one trillion, four hundred twenty billion, three hundred two million, four hundred twenty-two thousand, two hundred".