12131112322200 has 192 divisors, whose sum is σ = 38878629822720. Its totient is φ = 3126686400000.

The previous prime is 12131112322151. The next prime is 12131112322229. The reversal of 12131112322200 is 222321113121.

It is a super-2 number, since 2×12131112322200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1542775 + ... + 5161625.

It is an arithmetic number, because the mean of its divisors is an integer number (202492863660).

Almost surely, 2^{12131112322200} is an apocalyptic number.

12131112322200 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 12131112322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19439314911360).

12131112322200 is an abundant number, since it is smaller than the sum of its proper divisors (26747517500520).

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

12131112322200 is a wasteful number, since it uses less digits than its factorization.

12131112322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619058 (or 3619049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12131112322200 its reverse (222321113121), we get a palindrome (12353433435321).

The spelling of 12131112322200 in words is "twelve trillion, one hundred thirty-one billion, one hundred twelve million, three hundred twenty-two thousand, two hundred".