20222305412400 has 2880 divisors, whose sum is σ = 93256291215360. Its totient is φ = 3937517568000.

The previous prime is 20222305412347. The next prime is 20222305412411. The reversal of 20222305412400 is 421450322202.

20222305412400 is a `hidden beast` number, since 2 + 0 + 22 + 230 + 5 + 4 + 1 + 2 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 116891938714 + ... + 116891938886.

It is an arithmetic number, because the mean of its divisors is an integer number (32380656672).

Almost surely, 2^{20222305412400} is an apocalyptic number.

20222305412400 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 20222305412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46628145607680).

20222305412400 is an abundant number, since it is smaller than the sum of its proper divisors (73033985802960).

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

20222305412400 is a wasteful number, since it uses less digits than its factorization.

20222305412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20222305412400 its reverse (421450322202), we get a palindrome (20643755734602).

The spelling of 20222305412400 in words is "twenty trillion, two hundred twenty-two billion, three hundred five million, four hundred twelve thousand, four hundred".