12344121200 has 60 divisors (see below), whose sum is σ = 29772395040. Its totient is φ = 4918394880.

The previous prime is 12344121193. The next prime is 12344121203. The reversal of 12344121200 is 212144321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344121203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42761 + ... + 162839.

It is an arithmetic number, because the mean of its divisors is an integer number (496206584).

Almost surely, 2^12344121200 is an apocalyptic number.

12344121200 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 12344121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886197520).

12344121200 is an abundant number, since it is smaller than the sum of its proper divisors (17428273840).

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

12344121200 is a wasteful number, since it uses less digits than its factorization.

12344121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120354 (or 120343 counting only the distinct ones).

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

Adding to 12344121200 its reverse (212144321), we get a palindrome (12556265521).

It can be divided in two parts, 12344121 and 200, that added together give a palindrome (12344321).

The spelling of 12344121200 in words is "twelve billion, three hundred forty-four million, one hundred twenty-one thousand, two hundred".