22002201112122 has 128 divisors (see below), whose sum is σ = 61103969740800. Its totient is φ = 5701217702400.

The previous prime is 22002201112109. The next prime is 22002201112127. The reversal of 22002201112122 is 22121110220022.

It is a happy number.

22002201112122 is a `hidden beast` number, since 220 + 0 + 220 + 1 + 11 + 212 + 2 = 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 = 22002201112095 and 22002201112104.

It is not an unprimeable number, because it can be changed into a prime (22002201112127) 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 63 ways as a sum of consecutive naturals, for example, 4572279 + ... + 8056682.

It is an arithmetic number, because the mean of its divisors is an integer number (477374763600).

Almost surely, 2^{22002201112122} is an apocalyptic number.

22002201112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22002201112122 is an abundant number, since it is smaller than the sum of its proper divisors (39101768628678).

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

22002201112122 is a wasteful number, since it uses less digits than its factorization.

22002201112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12629409 (or 12629403 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22002201112122 its reverse (22121110220022), we get a palindrome (44123311332144).

The spelling of 22002201112122 in words is "twenty-two trillion, two billion, two hundred one million, one hundred twelve thousand, one hundred twenty-two".