12100012200 has 192 divisors, whose sum is σ = 43115544000. Its totient is φ = 3115365120.

The previous prime is 12100012147. The next prime is 12100012207. The reversal of 12100012200 is 221000121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12100012207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117967 + ... + 195233.

It is an arithmetic number, because the mean of its divisors is an integer number (224560125).

Almost surely, 2^12100012200 is an apocalyptic number.

12100012200 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 12100012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21557772000).

12100012200 is an abundant number, since it is smaller than the sum of its proper divisors (31015531800).

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

12100012200 is a wasteful number, since it uses less digits than its factorization.

12100012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77321 (or 77306 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12100012200 its reverse (221000121), we get a palindrome (12321012321).

It can be divided in two parts, 1210001 and 2200, that added together give a square (1212201 = 1101²).

The spelling of 12100012200 in words is "twelve billion, one hundred million, twelve thousand, two hundred".