22133102233242 has 256 divisors, whose sum is σ = 62509186252800. Its totient is φ = 5038558387200.

The previous prime is 22133102233169. The next prime is 22133102233303. The reversal of 22133102233242 is 24233220133122.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8746384 + ... + 10989332.

It is an arithmetic number, because the mean of its divisors is an integer number (244176508800).

Almost surely, 2^{22133102233242} is an apocalyptic number.

22133102233242 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 22133102233242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31254593126400).

22133102233242 is an abundant number, since it is smaller than the sum of its proper divisors (40376084019558).

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

22133102233242 is a wasteful number, since it uses less digits than its factorization.

22133102233242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243069.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 22133102233242 its reverse (24233220133122), we get a palindrome (46366322366364).

The spelling of 22133102233242 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred two million, two hundred thirty-three thousand, two hundred forty-two".