12202002000 has 280 divisors, whose sum is σ = 44241710760. Its totient is φ = 3253478400.

The previous prime is 12202001953. The next prime is 12202002013. The reversal of 12202002000 is 20020221.

12202002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 114318864 + 12087683136 = 10692^2 + 109944^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 55 ways as a sum of consecutive naturals, for example, 1453816 + ... + 1462184.

Almost surely, 2^12202002000 is an apocalyptic number.

12202002000 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 12202002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120855380).

12202002000 is an abundant number, since it is smaller than the sum of its proper divisors (32039708760).

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

12202002000 is an frugal number, since it uses more digits than its factorization.

12202002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 12202002000 its reverse (20020221), we get a palindrome (12222022221).

The spelling of 12202002000 in words is "twelve billion, two hundred two million, two thousand".