12341174400 has 576 divisors, whose sum is σ = 47511959040. Its totient is φ = 3041280000.

The previous prime is 12341174387. The next prime is 12341174441. The reversal of 12341174400 is 447114321.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20534100 + ... + 20534700.

It is an arithmetic number, because the mean of its divisors is an integer number (82486040).

Almost surely, 2^12341174400 is an apocalyptic number.

12341174400 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 12341174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23755979520).

12341174400 is an abundant number, since it is smaller than the sum of its proper divisors (35170784640).

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

12341174400 is a wasteful number, since it uses less digits than its factorization.

12341174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 12341174400 its reverse (447114321), we get a palindrome (12788288721).

The spelling of 12341174400 in words is "twelve billion, three hundred forty-one million, one hundred seventy-four thousand, four hundred".