12407527200 has 144 divisors (see below), whose sum is σ = 40443973920. Its totient is φ = 3303966720.

The previous prime is 12407527199. The next prime is 12407527213. The reversal of 12407527200 is 272570421.

12407527200 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 (30).

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 23 ways as a sum of consecutive naturals, for example, 1885516 + ... + 1892084.

It is an arithmetic number, because the mean of its divisors is an integer number (280860930).

Almost surely, 2^12407527200 is an apocalyptic number.

12407527200 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 12407527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20221986960).

12407527200 is an abundant number, since it is smaller than the sum of its proper divisors (28036446720).

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

12407527200 is a wasteful number, since it uses less digits than its factorization.

12407527200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The spelling of 12407527200 in words is "twelve billion, four hundred seven million, five hundred twenty-seven thousand, two hundred".