12404334242300 has 576 divisors, whose sum is σ = 37854277171200. Its totient is φ = 3400850534400.

The previous prime is 12404334242291. The next prime is 12404334242371. The reversal of 12404334242300 is 324243340421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 619308686 + ... + 619328714.

It is an arithmetic number, because the mean of its divisors is an integer number (65719231200).

Almost surely, 2^{12404334242300} is an apocalyptic number.

12404334242300 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 12404334242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927138585600).

12404334242300 is an abundant number, since it is smaller than the sum of its proper divisors (25449942928900).

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

12404334242300 is a wasteful number, since it uses less digits than its factorization.

12404334242300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20366 (or 20359 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 12404334242300 its reverse (324243340421), we get a palindrome (12728577582721).

It can be divided in two parts, 124043 and 34242300, that added together give a palindrome (34366343).

The spelling of 12404334242300 in words is "twelve trillion, four hundred four billion, three hundred thirty-four million, two hundred forty-two thousand, three hundred".