12442321131100 has 576 divisors, whose sum is σ = 33627247718400. Its totient is φ = 3901188096000.

The previous prime is 12442321131091. The next prime is 12442321131101. The reversal of 12442321131100 is 113112324421.

It is a super-2 number, since 2×12442321131100² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442321131101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39751824544 + ... + 39751824856.

It is an arithmetic number, because the mean of its divisors is an integer number (58380638400).

Almost surely, 2^{12442321131100} is an apocalyptic number.

12442321131100 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 12442321131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16813623859200).

12442321131100 is an abundant number, since it is smaller than the sum of its proper divisors (21184926587300).

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

12442321131100 is a wasteful number, since it uses less digits than its factorization.

12442321131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 12442321131100 its reverse (113112324421), we get a palindrome (12555433455521).

The spelling of 12442321131100 in words is "twelve trillion, four hundred forty-two billion, three hundred twenty-one million, one hundred thirty-one thousand, one hundred".