12125104200 has 288 divisors, whose sum is σ = 45154699200. Its totient is φ = 2890944000.

The previous prime is 12125104193. The next prime is 12125104207. The reversal of 12125104200 is 240152121.

It is an interprime number because it is at equal distance from previous prime (12125104193) and next prime (12125104207).

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

It is not an unprimeable number, because it can be changed into a prime (12125104207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1202781 + ... + 1212819.

It is an arithmetic number, because the mean of its divisors is an integer number (156787150).

Almost surely, 2^12125104200 is an apocalyptic number.

12125104200 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 12125104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22577349600).

12125104200 is an abundant number, since it is smaller than the sum of its proper divisors (33029595000).

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

12125104200 is a wasteful number, since it uses less digits than its factorization.

12125104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12125104200 its reverse (240152121), we get a palindrome (12365256321).

The spelling of 12125104200 in words is "twelve billion, one hundred twenty-five million, one hundred four thousand, two hundred".