1332223322100 has 288 divisors, whose sum is σ = 4251753203712. Its totient is φ = 322047792000.

The previous prime is 1332223322093. The next prime is 1332223322123. The reversal of 1332223322100 is 12233222331.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 146538555 + ... + 146547645.

Almost surely, 2^{1332223322100} is an apocalyptic number.

1332223322100 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 1332223322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125876601856).

1332223322100 is an abundant number, since it is smaller than the sum of its proper divisors (2919529881612).

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

1332223322100 is a wasteful number, since it uses less digits than its factorization.

1332223322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9508 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1332223322100 its reverse (12233222331), we get a palindrome (1344456544431).

The spelling of 1332223322100 in words is "one trillion, three hundred thirty-two billion, two hundred twenty-three million, three hundred twenty-two thousand, one hundred".