22122020220000 has 240 divisors, whose sum is σ = 72574712345520. Its totient is φ = 5898387456000.

The previous prime is 22122020219993. The next prime is 22122020220011. The reversal of 22122020220000 is 2202022122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×22122020220000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 521318784 + ... + 521361216.

It is an arithmetic number, because the mean of its divisors is an integer number (302394634773).

Almost surely, 2^{22122020220000} is an apocalyptic number.

22122020220000 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 22122020220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36287356172760).

22122020220000 is an abundant number, since it is smaller than the sum of its proper divisors (50452692125520).

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

22122020220000 is an equidigital number, since it uses as much as digits as its factorization.

22122020220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51155 (or 51132 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22122020220000 its reverse (2202022122), we get a palindrome (22124222242122).

The spelling of 22122020220000 in words is "twenty-two trillion, one hundred twenty-two billion, twenty million, two hundred twenty thousand".