22322011200000 has 480 divisors, whose sum is σ = 76338790754688. Its totient is φ = 5791610880000.

The previous prime is 22322011199993. The next prime is 22322011200007. The reversal of 22322011200000 is 211022322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22322011199993) and next prime (22322011200007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×22322011200000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22322011200007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 177537157 + ... + 177662843.

Almost surely, 2^{22322011200000} is an apocalyptic number.

22322011200000 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 22322011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38169395377344).

22322011200000 is an abundant number, since it is smaller than the sum of its proper divisors (54016779554688).

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

22322011200000 is an frugal number, since it uses more digits than its factorization.

22322011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125770 (or 125734 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22322011200000 its reverse (211022322), we get a palindrome (22322222222322).

The spelling of 22322011200000 in words is "twenty-two trillion, three hundred twenty-two billion, eleven million, two hundred thousand".