22133233122 has 384 divisors, whose sum is σ = 63012225024. Its totient is φ = 5037120000.

The previous prime is 22133233061. The next prime is 22133233151.

22133233122 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 22133233092 and 22133233101.

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 191 ways as a sum of consecutive naturals, for example, 206852593 + ... + 206852699.

It is an arithmetic number, because the mean of its divisors is an integer number (164094336).

Almost surely, 2^22133233122 is an apocalyptic number.

22133233122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133233122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31506112512).

22133233122 is an abundant number, since it is smaller than the sum of its proper divisors (40878991902).

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

22133233122 is a wasteful number, since it uses less digits than its factorization.

22133233122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

It can be divided in two parts, 22133 and 233122, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 22133233122 in words is "twenty-two billion, one hundred thirty-three million, two hundred thirty-three thousand, one hundred twenty-two".