22021234400 has 288 divisors, whose sum is σ = 61286077440. Its totient is φ = 7653888000.

The previous prime is 22021234397. The next prime is 22021234481. The reversal of 22021234400 is 443212022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 24278747 + ... + 24279653.

It is an arithmetic number, because the mean of its divisors is an integer number (212798880).

Almost surely, 2^22021234400 is an apocalyptic number.

22021234400 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 22021234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30643038720).

22021234400 is an abundant number, since it is smaller than the sum of its proper divisors (39264843040).

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

22021234400 is a wasteful number, since it uses less digits than its factorization.

22021234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22021234400 its reverse (443212022), we get a palindrome (22464446422).

The spelling of 22021234400 in words is "twenty-two billion, twenty-one million, two hundred thirty-four thousand, four hundred".