1221112222122 has 128 divisors (see below), whose sum is σ = 2704301107200. Its totient is φ = 365214769920.

The previous prime is 1221112222111. The next prime is 1221112222129. The reversal of 1221112222122 is 2212222111221.

It is a super-2 number, since 2×1221112222122² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1221112222129) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 797590497 + ... + 797592027.

It is an arithmetic number, because the mean of its divisors is an integer number (21127352400).

Almost surely, 2^{1221112222122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221112222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352150553600).

1221112222122 is an abundant number, since it is smaller than the sum of its proper divisors (1483188885078).

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

1221112222122 is a wasteful number, since it uses less digits than its factorization.

1221112222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588.

The product of its digits is 256, while the sum is 21.

Adding to 1221112222122 its reverse (2212222111221), we get a palindrome (3433334333343).

The spelling of 1221112222122 in words is "one trillion, two hundred twenty-one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty-two".