12353338800 has 720 divisors, whose sum is σ = 50083937280. Its totient is φ = 2790144000.

The previous prime is 12353338793. The next prime is 12353338853. The reversal of 12353338800 is 883335321.

12353338800 is a `hidden beast` number, since 12 + 3 + 533 + 38 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35600227 + ... + 35600573.

It is an arithmetic number, because the mean of its divisors is an integer number (69561024).

Almost surely, 2^12353338800 is an apocalyptic number.

12353338800 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 12353338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25041968640).

12353338800 is an abundant number, since it is smaller than the sum of its proper divisors (37730598480).

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

12353338800 is a wasteful number, since it uses less digits than its factorization.

12353338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 12353 and 338800, that added together give a palindrome (351153).

The spelling of 12353338800 in words is "twelve billion, three hundred fifty-three million, three hundred thirty-eight thousand, eight hundred".