12435324012300 has 216 divisors, whose sum is σ = 41950429073616. Its totient is φ = 2835793981440.

The previous prime is 12435324012239. The next prime is 12435324012337. The reversal of 12435324012300 is 321042353421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5388264 + ... + 7341936.

Almost surely, 2^{12435324012300} is an apocalyptic number.

12435324012300 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 12435324012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20975214536808).

12435324012300 is an abundant number, since it is smaller than the sum of its proper divisors (29515105061316).

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

12435324012300 is a wasteful number, since it uses less digits than its factorization.

12435324012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954137 (or 1954123 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 12435324012300 its reverse (321042353421), we get a palindrome (12756366365721).

The spelling of 12435324012300 in words is "twelve trillion, four hundred thirty-five billion, three hundred twenty-four million, twelve thousand, three hundred".