20022200221122 has 192 divisors, whose sum is σ = 50212027008000. Its totient is φ = 5702332521600.

The previous prime is 20022200221117. The next prime is 20022200221147. The reversal of 20022200221122 is 22112200222002.

20022200221122 is a `hidden beast` number, since 200 + 2 + 220 + 0 + 221 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20022200221095 and 20022200221104.

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, 3133851904 + ... + 3133858292.

It is an arithmetic number, because the mean of its divisors is an integer number (261520974000).

Almost surely, 2^{20022200221122} is an apocalyptic number.

20022200221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022200221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25106013504000).

20022200221122 is an abundant number, since it is smaller than the sum of its proper divisors (30189826786878).

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

20022200221122 is a wasteful number, since it uses less digits than its factorization.

20022200221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12917 (or 12914 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20022200221122 its reverse (22112200222002), we get a palindrome (42134400443124).

The spelling of 20022200221122 in words is "twenty trillion, twenty-two billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-two".