22022123012400 has 240 divisors, whose sum is σ = 80627943052800. Its totient is φ = 5033253550080.

The previous prime is 22022123012387. The next prime is 22022123012411. The reversal of 22022123012400 is 421032122022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 121869316 + ... + 122049884.

It is an arithmetic number, because the mean of its divisors is an integer number (335949762720).

Almost surely, 2^{22022123012400} is an apocalyptic number.

22022123012400 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 22022123012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40313971526400).

22022123012400 is an abundant number, since it is smaller than the sum of its proper divisors (58605820040400).

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

22022123012400 is a wasteful number, since it uses less digits than its factorization.

22022123012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195116 (or 195105 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22022123012400 its reverse (421032122022), we get a palindrome (22443155134422).

The spelling of 22022123012400 in words is "twenty-two trillion, twenty-two billion, one hundred twenty-three million, twelve thousand, four hundred".