22121114310400 has 216 divisors, whose sum is σ = 62813063706624. Its totient is φ = 7555540070400.

The previous prime is 22121114310367. The next prime is 22121114310433. The reversal of 22121114310400 is 401341112122.

It is an interprime number because it is at equal distance from previous prime (22121114310367) and next prime (22121114310433).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10843665 + ... + 12721135.

It is an arithmetic number, because the mean of its divisors is an integer number (290801220864).

Almost surely, 2^{22121114310400} is an apocalyptic number.

22121114310400 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 22121114310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31406531853312).

22121114310400 is an abundant number, since it is smaller than the sum of its proper divisors (40691949396224).

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

22121114310400 is a wasteful number, since it uses less digits than its factorization.

22121114310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877767 (or 1877748 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 22121114310400 its reverse (401341112122), we get a palindrome (22522455422522).

The spelling of 22121114310400 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred fourteen million, three hundred ten thousand, four hundred".