22133133133122 has 64 divisors (see below), whose sum is σ = 49650830143488. Its totient is φ = 6519278736000.

The previous prime is 22133133133079. The next prime is 22133133133141.

22133133133122 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22133133133122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14357598 + ... + 15824249.

It is an arithmetic number, because the mean of its divisors is an integer number (775794220992).

Almost surely, 2^{22133133133122} is an apocalyptic number.

22133133133122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22133133133122 is an abundant number, since it is smaller than the sum of its proper divisors (27517697010366).

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

22133133133122 is a wasteful number, since it uses less digits than its factorization.

22133133133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30182175.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 2213313 and 3133122, that added together give a palindrome (5346435).

The spelling of 22133133133122 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty-two".