12067431200 has 144 divisors (see below), whose sum is σ = 32194876896. Its totient is φ = 4380364800.

The previous prime is 12067431199. The next prime is 12067431203. The reversal of 12067431200 is 213476021.

It is a self number, because there is not a number n which added to its sum of digits gives 12067431200.

It is not an unprimeable number, because it can be changed into a prime (12067431203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7769624 + ... + 7771176.

It is an arithmetic number, because the mean of its divisors is an integer number (223575534).

Almost surely, 2^12067431200 is an apocalyptic number.

12067431200 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 12067431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16097438448).

12067431200 is an abundant number, since it is smaller than the sum of its proper divisors (20127445696).

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

12067431200 is a wasteful number, since it uses less digits than its factorization.

12067431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 12067431200 in words is "twelve billion, sixty-seven million, four hundred thirty-one thousand, two hundred".