12122332200 has 288 divisors, whose sum is σ = 45614892960. Its totient is φ = 2859148800.

The previous prime is 12122332181. The next prime is 12122332219. The reversal of 12122332200 is 223322121.

Added to its reverse (223322121) it gives a square (12345654321 = 111111²).

12122332200 is a `hidden beast` number, since 1 + 212 + 233 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12122332181) and next prime (12122332219).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 724327 + ... + 740873.

It is an arithmetic number, because the mean of its divisors is an integer number (158385045).

Almost surely, 2^12122332200 is an apocalyptic number.

12122332200 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 12122332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22807446480).

12122332200 is an abundant number, since it is smaller than the sum of its proper divisors (33492560760).

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

12122332200 is a wasteful number, since it uses less digits than its factorization.

12122332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16617 (or 16605 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12122332200 its reverse (223322121), we get a palindrome (12345654321).

The spelling of 12122332200 in words is "twelve billion, one hundred twenty-two million, three hundred thirty-two thousand, two hundred".