12134124200 has 96 divisors (see below), whose sum is σ = 30808697760. Its totient is φ = 4407801600.

The previous prime is 12134124181. The next prime is 12134124203. The reversal of 12134124200 is 242143121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12134124203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2666327 + ... + 2670873.

It is an arithmetic number, because the mean of its divisors is an integer number (320923935).

Almost surely, 2^12134124200 is an apocalyptic number.

12134124200 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 12134124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404348880).

12134124200 is an abundant number, since it is smaller than the sum of its proper divisors (18674573560).

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

12134124200 is a wasteful number, since it uses less digits than its factorization.

12134124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5787 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12134124200 its reverse (242143121), we get a palindrome (12376267321).

It can be divided in two parts, 121341 and 24200, that added together give a palindrome (145541).

The spelling of 12134124200 in words is "twelve billion, one hundred thirty-four million, one hundred twenty-four thousand, two hundred".