12300033200 has 240 divisors, whose sum is σ = 36498872256. Its totient is φ = 3879014400.

The previous prime is 12300033199. The next prime is 12300033223. The reversal of 12300033200 is 233000321.

12300033200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12300033200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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, 16780034 + ... + 16780766.

Almost surely, 2^12300033200 is an apocalyptic number.

12300033200 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 12300033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249436128).

12300033200 is an abundant number, since it is smaller than the sum of its proper divisors (24198839056).

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

12300033200 is a wasteful number, since it uses less digits than its factorization.

12300033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 12300033200 its reverse (233000321), we get a palindrome (12533033521).

The spelling of 12300033200 in words is "twelve billion, three hundred million, thirty-three thousand, two hundred".