12323220100 has 81 divisors (see below), whose sum is σ = 28450509997. Its totient is φ = 4632225280.

The previous prime is 12323220053. The next prime is 12323220101. The reversal of 12323220100 is 102232321.

The square root of 12323220100 is 111010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7727464836 + 4595755264 = 87906^2 + 67792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12323220101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18871374 + ... + 18872026.

Almost surely, 2^12323220100 is an apocalyptic number.

12323220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12323220100 is the 111010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323220100

12323220100 is an abundant number, since it is smaller than the sum of its proper divisors (16127289897).

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

12323220100 is an equidigital number, since it uses as much as digits as its factorization.

12323220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Multiplying 12323220100 by its sum of digits (16), we get a square (197171521600 = 444040²).

Multiplying 12323220100 by its product of nonzero digits (144), we get a square (1774543694400 = 1332120²).

Adding to 12323220100 its reverse (102232321), we get a palindrome (12425452421).

The spelling of 12323220100 in words is "twelve billion, three hundred twenty-three million, two hundred twenty thousand, one hundred".