22130134400 has 192 divisors, whose sum is σ = 60080529600. Its totient is φ = 7987660800.

The previous prime is 22130134399. The next prime is 22130134463. The reversal of 22130134400 is 443103122.

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 23 ways as a sum of consecutive naturals, for example, 4890539 + ... + 4895061.

It is an arithmetic number, because the mean of its divisors is an integer number (312919425).

Almost surely, 2^22130134400 is an apocalyptic number.

22130134400 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 22130134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30040264800).

22130134400 is an abundant number, since it is smaller than the sum of its proper divisors (37950395200).

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

22130134400 is a wasteful number, since it uses less digits than its factorization.

22130134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22130134400 its reverse (443103122), we get a palindrome (22573237522).

The spelling of 22130134400 in words is "twenty-two billion, one hundred thirty million, one hundred thirty-four thousand, four hundred".