233122321104 has 160 divisors (see below), whose sum is σ = 653002669440. Its totient is φ = 71379173376.

The previous prime is 233122321073. The next prime is 233122321153. The reversal of 233122321104 is 401123221332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74981502 + ... + 74984610.

It is an arithmetic number, because the mean of its divisors is an integer number (4081266684).

Almost surely, 2^233122321104 is an apocalyptic number.

233122321104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233122321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326501334720).

233122321104 is an abundant number, since it is smaller than the sum of its proper divisors (419880348336).

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

233122321104 is a wasteful number, since it uses less digits than its factorization.

233122321104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233122321104 its reverse (401123221332), we get a palindrome (634245542436).

The spelling of 233122321104 in words is "two hundred thirty-three billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred four".