22535330342120 has 32 divisors (see below), whose sum is σ = 50705120723400. Its totient is φ = 9014020589568.

The previous prime is 22535330342101. The next prime is 22535330342207. The reversal of 22535330342120 is 2124303353522.

It can be written as a sum of positive squares in 4 ways, for example, as 6478175391076 + 16057154951044 = 2545226^2 + 4007138^2 .

It is a super-3 number, since 3×22535330342120³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174209 + ... + 6715728.

Almost surely, 2^{22535330342120} is an apocalyptic number.

22535330342120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22535330342120 is an abundant number, since it is smaller than the sum of its proper divisors (28169790381280).

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

22535330342120 is a wasteful number, since it uses less digits than its factorization.

22535330342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971717 (or 6971713 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 22535330342120 its reverse (2124303353522), we get a palindrome (24659633695642).

The spelling of 22535330342120 in words is "twenty-two trillion, five hundred thirty-five billion, three hundred thirty million, three hundred forty-two thousand, one hundred twenty".