12220012000 has 144 divisors (see below), whose sum is σ = 34927100208. Its totient is φ = 4189651200.

The previous prime is 12220011983. The next prime is 12220012019. The reversal of 12220012000 is 21002221.

12220012000 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 (10).

It is a congruent number.

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, 164827 + ... + 227173.

It is an arithmetic number, because the mean of its divisors is an integer number (242549307).

Almost surely, 2^12220012000 is an apocalyptic number.

12220012000 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 12220012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17463550104).

12220012000 is an abundant number, since it is smaller than the sum of its proper divisors (22707088208).

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

12220012000 is an equidigital number, since it uses as much as digits as its factorization.

12220012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62386 (or 62361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12220012000 its reverse (21002221), we get a palindrome (12241014221).

The spelling of 12220012000 in words is "twelve billion, two hundred twenty million, twelve thousand".