12013535040300 has 216 divisors, whose sum is σ = 37727464975200. Its totient is φ = 3197515023360.

The previous prime is 12013535040197. The next prime is 12013535040349. The reversal of 12013535040300 is 304053531021.

12013535040300 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 3 + 5 + 350 + 4 + 0 + 300 = 666.

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, 1121811346 + ... + 1121822054.

It is an arithmetic number, because the mean of its divisors is an integer number (174664189700).

Almost surely, 2^{12013535040300} is an apocalyptic number.

12013535040300 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 12013535040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18863732487600).

12013535040300 is an abundant number, since it is smaller than the sum of its proper divisors (25713929934900).

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

12013535040300 is a wasteful number, since it uses less digits than its factorization.

12013535040300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12985 (or 12975 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 12013535040300 its reverse (304053531021), we get a palindrome (12317588571321).

The spelling of 12013535040300 in words is "twelve trillion, thirteen billion, five hundred thirty-five million, forty thousand, three hundred".