22113000031122 has 96 divisors (see below), whose sum is σ = 64328727415680. Its totient is φ = 5301818184960.

The previous prime is 22113000031063. The next prime is 22113000031127.

22113000031122 is a `hidden beast` number, since 2 + 211 + 300 + 0 + 0 + 31 + 122 = 666.

22113000031122 is nontrivially palindromic in base 10.

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 = 22113000031095 and 22113000031104.

It is not an unprimeable number, because it can be changed into a prime (22113000031127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613618347 + ... + 613654382.

It is an arithmetic number, because the mean of its divisors is an integer number (670090910580).

Almost surely, 2^{22113000031122} is an apocalyptic number.

22113000031122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22113000031122 is an abundant number, since it is smaller than the sum of its proper divisors (42215727384558).

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

22113000031122 is a wasteful number, since it uses less digits than its factorization.

22113000031122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227272768 (or 1227272765 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 221130000 and 31122, that added together give a palindrome (221161122).

The spelling of 22113000031122 in words is "twenty-two trillion, one hundred thirteen billion, thirty-one thousand, one hundred twenty-two".