12001300033200 has 60 divisors (see below), whose sum is σ = 38444164443528. Its totient is φ = 3200346675200.

The previous prime is 12001300033127. The next prime is 12001300033213. The reversal of 12001300033200 is 233000310021.

12001300033200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×12001300033200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12001300033200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5000540481 + ... + 5000542880.

Almost surely, 2^{12001300033200} is an apocalyptic number.

12001300033200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001300033200 is an abundant number, since it is smaller than the sum of its proper divisors (26442864410328).

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

12001300033200 is a wasteful number, since it uses less digits than its factorization.

12001300033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001083382 (or 10001083371 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12001300033200 its reverse (233000310021), we get a palindrome (12234300343221).

The spelling of 12001300033200 in words is "twelve trillion, one billion, three hundred million, thirty-three thousand, two hundred".