1233312122322 has 96 divisors (see below), whose sum is σ = 3175261689600. Its totient is φ = 338496810624.

The previous prime is 1233312122303. The next prime is 1233312122333. The reversal of 1233312122322 is 2232212133321.

1233312122322 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 312 + 1 + 22 + 322 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 136822 + ... + 1576497.

It is an arithmetic number, because the mean of its divisors is an integer number (33075642600).

Almost surely, 2^{1233312122322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233312122322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587630844800).

1233312122322 is an abundant number, since it is smaller than the sum of its proper divisors (1941949567278).

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

1233312122322 is a wasteful number, since it uses less digits than its factorization.

1233312122322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713560 (or 1713557 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 1233312122322 its reverse (2232212133321), we get a palindrome (3465524255643).

The spelling of 1233312122322 in words is "one trillion, two hundred thirty-three billion, three hundred twelve million, one hundred twenty-two thousand, three hundred twenty-two".