12131101200 has 240 divisors, whose sum is σ = 40065796736. Its totient is φ = 3135283200.

The previous prime is 12131101193. The next prime is 12131101207. The reversal of 12131101200 is 210113121.

It is an interprime number because it is at equal distance from previous prime (12131101193) and next prime (12131101207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12131101207) 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, 19224885 + ... + 19225515.

Almost surely, 2^12131101200 is an apocalyptic number.

12131101200 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 12131101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20032898368).

12131101200 is an abundant number, since it is smaller than the sum of its proper divisors (27934695536).

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

12131101200 is a wasteful number, since it uses less digits than its factorization.

12131101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12131101200 its reverse (210113121), we get a palindrome (12341214321).

The spelling of 12131101200 in words is "twelve billion, one hundred thirty-one million, one hundred one thousand, two hundred".