233132121222 has 128 divisors (see below), whose sum is σ = 627238563840. Its totient is φ = 55788186240.

The previous prime is 233132121193. The next prime is 233132121239. The reversal of 233132121222 is 222121231332.

233132121222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 233132121192 and 233132121201.

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 63 ways as a sum of consecutive naturals, for example, 3104029 + ... + 3178247.

It is an arithmetic number, because the mean of its divisors is an integer number (4900301280).

Almost surely, 2^233132121222 is an apocalyptic number.

233132121222 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 233132121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313619281920).

233132121222 is an abundant number, since it is smaller than the sum of its proper divisors (394106442618).

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

233132121222 is a wasteful number, since it uses less digits than its factorization.

233132121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74778.

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

Adding to 233132121222 its reverse (222121231332), we get a palindrome (455253352554).

The spelling of 233132121222 in words is "two hundred thirty-three billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred twenty-two".