12221314000 has 80 divisors (see below), whose sum is σ = 33772766976. Its totient is φ = 4190160000.

The previous prime is 12221313947. The next prime is 12221314003. The reversal of 12221314000 is 41312221.

12221314000 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221314003) 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 15 ways as a sum of consecutive naturals, for example, 422476 + ... + 450475.

Almost surely, 2^12221314000 is an apocalyptic number.

12221314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221314000 is an abundant number, since it is smaller than the sum of its proper divisors (21551452976).

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

12221314000 is an equidigital number, since it uses as much as digits as its factorization.

12221314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872981 (or 872965 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12221314000 its reverse (41312221), we get a palindrome (12262626221).

The spelling of 12221314000 in words is "twelve billion, two hundred twenty-one million, three hundred fourteen thousand".