12001257200 has 30 divisors (see below), whose sum is σ = 28833021384. Its totient is φ = 4800502720.

The previous prime is 12001257179. The next prime is 12001257209. The reversal of 12001257200 is 275210021.

12001257200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001257209) 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 5 ways as a sum of consecutive naturals, for example, 15001172 + ... + 15001971.

Almost surely, 2^12001257200 is an apocalyptic number.

12001257200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001257200 is an abundant number, since it is smaller than the sum of its proper divisors (16831764184).

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

12001257200 is a wasteful number, since it uses less digits than its factorization.

12001257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30003161 (or 30003150 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

Adding to 12001257200 its reverse (275210021), we get a palindrome (12276467221).

The spelling of 12001257200 in words is "twelve billion, one million, two hundred fifty-seven thousand, two hundred".