233122112341020 has 144 divisors (see below), whose sum is σ = 808160572477440. Its totient is φ = 53284796028288.

The previous prime is 233122112340977. The next prime is 233122112341039. The reversal of 233122112341020 is 20143211221332.

233122112341020 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 221 + 1 + 2 + 3 + 410 + 20 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 405411271 + ... + 405985889.

It is an arithmetic number, because the mean of its divisors is an integer number (5612226197760).

Almost surely, 2^{233122112341020} is an apocalyptic number.

233122112341020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233122112341020 is an abundant number, since it is smaller than the sum of its proper divisors (575038460136420).

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

233122112341020 is a wasteful number, since it uses less digits than its factorization.

233122112341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896624 (or 896619 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 233122112341020 its reverse (20143211221332), we get a palindrome (253265323562352).

The spelling of 233122112341020 in words is "two hundred thirty-three trillion, one hundred twenty-two billion, one hundred twelve million, three hundred forty-one thousand, twenty".