12335535104300 has 144 divisors (see below), whose sum is σ = 28232459673600. Its totient is φ = 4665321619200.

The previous prime is 12335535104297. The next prime is 12335535104303. The reversal of 12335535104300 is 340153553321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12335535104297) and next prime (12335535104303).

It is a super-2 number, since 2×12335535104300² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12335535104303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2461688795 + ... + 2461693805.

Almost surely, 2^{12335535104300} is an apocalyptic number.

12335535104300 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 12335535104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116229836800).

12335535104300 is an abundant number, since it is smaller than the sum of its proper divisors (15896924569300).

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

12335535104300 is a wasteful number, since it uses less digits than its factorization.

12335535104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7329 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

Adding to 12335535104300 its reverse (340153553321), we get a palindrome (12675688657621).

The spelling of 12335535104300 in words is "twelve trillion, three hundred thirty-five billion, five hundred thirty-five million, one hundred four thousand, three hundred".