12123323100 has 216 divisors, whose sum is σ = 43520943648. Its totient is φ = 2765145600.

The previous prime is 12123323089. The next prime is 12123323111. The reversal of 12123323100 is 132332121.

12123323100 is a `hidden beast` number, since 1 + 21 + 2 + 332 + 310 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12123323089) and next prime (12123323111).

It is a super-2 number, since 2×12123323100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3406522 + ... + 3410078.

Almost surely, 2^12123323100 is an apocalyptic number.

12123323100 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 12123323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21760471824).

12123323100 is an abundant number, since it is smaller than the sum of its proper divisors (31397620548).

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

12123323100 is a wasteful number, since it uses less digits than its factorization.

12123323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12123323100 its reverse (132332121), we get a palindrome (12255655221).

The spelling of 12123323100 in words is "twelve billion, one hundred twenty-three million, three hundred twenty-three thousand, one hundred".