12320222002100 has 36 divisors (see below), whose sum is σ = 28307521851084. Its totient is φ = 4638201223680.

The previous prime is 12320222002097. The next prime is 12320222002133. The reversal of 12320222002100 is 120022202321.

It can be written as a sum of positive squares in 6 ways, for example, as 114268337296 + 12205953664804 = 338036^2 + 3493702^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 11 ways as a sum of consecutive naturals, for example, 3623593007 + ... + 3623596406.

It is an arithmetic number, because the mean of its divisors is an integer number (786320051419).

Almost surely, 2^{12320222002100} is an apocalyptic number.

12320222002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320222002100 is an abundant number, since it is smaller than the sum of its proper divisors (15987299848984).

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

12320222002100 is a wasteful number, since it uses less digits than its factorization.

12320222002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247189444 (or 7247189437 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12320222002100 its reverse (120022202321), we get a palindrome (12440244204421).

The spelling of 12320222002100 in words is "twelve trillion, three hundred twenty billion, two hundred twenty-two million, two thousand, one hundred".