22142124030400 has 168 divisors, whose sum is σ = 62020703170944. Its totient is φ = 7701608217600.

The previous prime is 22142124030371. The next prime is 22142124030401. The reversal of 22142124030400 is 403042124122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142124030401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26944662 + ... + 27754261.

It is an arithmetic number, because the mean of its divisors is an integer number (369170852208).

Almost surely, 2^{22142124030400} is an apocalyptic number.

22142124030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142124030400 is an abundant number, since it is smaller than the sum of its proper divisors (39878579140544).

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

22142124030400 is a wasteful number, since it uses less digits than its factorization.

22142124030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54698979 (or 54698964 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22142124030400 its reverse (403042124122), we get a palindrome (22545166154522).

The spelling of 22142124030400 in words is "twenty-two trillion, one hundred forty-two billion, one hundred twenty-four million, thirty thousand, four hundred".