22122212020000 has 240 divisors, whose sum is σ = 55078822260000. Its totient is φ = 8742567680000.

The previous prime is 22122212019997. The next prime is 22122212020001. The reversal of 22122212020000 is 2021222122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22122212020001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2668215855 + ... + 2668224145.

It is an arithmetic number, because the mean of its divisors is an integer number (229495092750).

Almost surely, 2^{22122212020000} is an apocalyptic number.

22122212020000 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 22122212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27539411130000).

22122212020000 is an abundant number, since it is smaller than the sum of its proper divisors (32956610240000).

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

22122212020000 is an equidigital number, since it uses as much as digits as its factorization.

22122212020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9909 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122212020000 its reverse (2021222122), we get a palindrome (22124233242122).

It can be divided in two parts, 2 and 2122212020000, that multiplied together give a square (4244424040000 = 2060200²).

The spelling of 22122212020000 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twelve million, twenty thousand".