1323222132100 has 216 divisors, whose sum is σ = 3212835381000. Its totient is φ = 472555776000.

The previous prime is 1323222132091. The next prime is 1323222132103. The reversal of 1323222132100 is 12312223231.

It can be written as a sum of positive squares in 12 ways, for example, as 637797098884 + 685425033216 = 798622^2 + 827904^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1323222132103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 774266046 + ... + 774267754.

It is an arithmetic number, because the mean of its divisors is an integer number (14874237875).

Almost surely, 2^{1323222132100} is an apocalyptic number.

1323222132100 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 1323222132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606417690500).

1323222132100 is an abundant number, since it is smaller than the sum of its proper divisors (1889613248900).

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

1323222132100 is a wasteful number, since it uses less digits than its factorization.

1323222132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1323222132100 its reverse (12312223231), we get a palindrome (1335534355331).

The spelling of 1323222132100 in words is "one trillion, three hundred twenty-three billion, two hundred twenty-two million, one hundred thirty-two thousand, one hundred".