1321221122000 has 160 divisors (see below), whose sum is σ = 3484015342080. Its totient is φ = 481659609600.

The previous prime is 1321221121999. The next prime is 1321221122003. The reversal of 1321221122000 is 2211221231.

It is a self number, because there is not a number n which added to its sum of digits gives 1321221122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321221122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1732379 + ... + 2375621.

It is an arithmetic number, because the mean of its divisors is an integer number (21775095888).

Almost surely, 2^{1321221122000} is an apocalyptic number.

1321221122000 is a gapful number since it is divisible by the number (10) 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 1321221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742007671040).

1321221122000 is an abundant number, since it is smaller than the sum of its proper divisors (2162794220080).

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

1321221122000 is a wasteful number, since it uses less digits than its factorization.

1321221122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643358 (or 643342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1321221122000 its reverse (2211221231), we get a palindrome (1323432343231).

The spelling of 1321221122000 in words is "one trillion, three hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand".