1221322322112 has 224 divisors, whose sum is σ = 3451784580288. Its totient is φ = 379783348224.

The previous prime is 1221322322111. The next prime is 1221322322117. The reversal of 1221322322112 is 2112232231221.

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

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 (1221322322111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 178109788 + ... + 178116644.

Almost surely, 2^{1221322322112} is an apocalyptic number.

1221322322112 is a gapful number since it is divisible by the number (12) 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 1221322322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725892290144).

1221322322112 is an abundant number, since it is smaller than the sum of its proper divisors (2230462258176).

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

1221322322112 is a wasteful number, since it uses less digits than its factorization.

1221322322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7363 (or 7353 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 1221322322112 its reverse (2112232231221), we get a palindrome (3333554553333).

The spelling of 1221322322112 in words is "one trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred twenty-two thousand, one hundred twelve".