22122330320000 has 160 divisors (see below), whose sum is σ = 55085496295500. Its totient is φ = 8846789120000.

The previous prime is 22122330319811. The next prime is 22122330320039. The reversal of 22122330320000 is 2303322122.

It can be written as a sum of positive squares in 10 ways, for example, as 1478247452224 + 20644082867776 = 1215832^2 + 4543576^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 353648726 + ... + 353711274.

Almost surely, 2^{22122330320000} is an apocalyptic number.

22122330320000 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 22122330320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27542748147750).

22122330320000 is an abundant number, since it is smaller than the sum of its proper divisors (32963165975500).

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

22122330320000 is an frugal number, since it uses more digits than its factorization.

22122330320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67004 (or 66977 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22122330320000 its reverse (2303322122), we get a palindrome (22124633642122).

The spelling of 22122330320000 in words is "twenty-two trillion, one hundred twenty-two billion, three hundred thirty million, three hundred twenty thousand".