22211122211120 has 40 divisors (see below), whose sum is σ = 52841809361616. Its totient is φ = 8677833792768.

The previous prime is 22211122211107. The next prime is 22211122211141. The reversal of 22211122211120 is 2111222111222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22211122211092 and 22211122211101.

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 7 ways as a sum of consecutive naturals, for example, 3228357347 + ... + 3228364226.

Almost surely, 2^{22211122211120} is an apocalyptic number.

22211122211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211122211120 is an abundant number, since it is smaller than the sum of its proper divisors (30630687150496).

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

22211122211120 is a wasteful number, since it uses less digits than its factorization.

22211122211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456721629 (or 6456721623 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 22211122211120 its reverse (2111222111222), we get a palindrome (24322344322342).

It can be divided in two parts, 2 and 2211122211120, that added together give a palindrome (2211122211122).

The spelling of 22211122211120 in words is "twenty-two trillion, two hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".