12131222430400 has 168 divisors, whose sum is σ = 30247559032320. Its totient is φ = 4788003517440.

The previous prime is 12131222430317. The next prime is 12131222430403. The reversal of 12131222430400 is 403422213121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12131222430403) 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, 203094939 + ... + 203154661.

It is an arithmetic number, because the mean of its divisors is an integer number (180044994240).

Almost surely, 2^{12131222430400} is an apocalyptic number.

12131222430400 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 12131222430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123779516160).

12131222430400 is an abundant number, since it is smaller than the sum of its proper divisors (18116336601920).

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

12131222430400 is a wasteful number, since it uses less digits than its factorization.

12131222430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61431 (or 61416 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12131222430400 its reverse (403422213121), we get a palindrome (12534644643521).

The spelling of 12131222430400 in words is "twelve trillion, one hundred thirty-one billion, two hundred twenty-two million, four hundred thirty thousand, four hundred".