22022100122022 has 192 divisors, whose sum is σ = 64494260812800. Its totient is φ = 5244586963200.

The previous prime is 22022100122017. The next prime is 22022100122093.

22022100122022 is a `hidden beast` number, since 220 + 221 + 0 + 0 + 1 + 220 + 2 + 2 = 666.

22022100122022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22022100122022² (a number of 27 digits) contains 22 as substring.

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 = 22022100121986 and 22022100122004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1416754 + ... + 6786117.

It is an arithmetic number, because the mean of its divisors is an integer number (335907608400).

Almost surely, 2^{22022100122022} is an apocalyptic number.

22022100122022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22022100122022 is an abundant number, since it is smaller than the sum of its proper divisors (42472160690778).

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

22022100122022 is a wasteful number, since it uses less digits than its factorization.

22022100122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8203059 (or 8203056 counting only the distinct ones).

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

It can be divided in two parts, 22022100 and 122022, that added together give a palindrome (22144122).

The spelling of 22022100122022 in words is "twenty-two trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, twenty-two".