22132334400000 has 960 divisors, whose sum is σ = 82577668440960. Its totient is φ = 5219942400000.

The previous prime is 22132334399999. The next prime is 22132334400013. The reversal of 22132334400000 is 443323122.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1953594336 + ... + 1953605664.

It is an arithmetic number, because the mean of its divisors is an integer number (86018404626).

Almost surely, 2^{22132334400000} is an apocalyptic number.

22132334400000 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 22132334400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41288834220480).

22132334400000 is an abundant number, since it is smaller than the sum of its proper divisors (60445334040960).

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

22132334400000 is an equidigital number, since it uses as much as digits as its factorization.

22132334400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11423 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22132334400000 its reverse (443323122), we get a palindrome (22132777723122).

The spelling of 22132334400000 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred thirty-four million, four hundred thousand".