1223131322322 has 384 divisors, whose sum is σ = 3470756083200. Its totient is φ = 310894682112.

The previous prime is 1223131322311. The next prime is 1223131322323. The reversal of 1223131322322 is 2232231313221.

1223131322322 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 313 + 22 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (1223131322323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 760180254 + ... + 760181862.

It is an arithmetic number, because the mean of its divisors is an integer number (9038427300).

Almost surely, 2^{1223131322322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223131322322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735378041600).

1223131322322 is an abundant number, since it is smaller than the sum of its proper divisors (2247624760878).

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

1223131322322 is a wasteful number, since it uses less digits than its factorization.

1223131322322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1784 counting only the distinct ones).

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

Adding to 1223131322322 its reverse (2232231313221), we get a palindrome (3455362635543).

The spelling of 1223131322322 in words is "one trillion, two hundred twenty-three billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred twenty-two".