12202212100 has 72 divisors (see below), whose sum is σ = 28777576520. Its totient is φ = 4464046080.

The previous prime is 12202212073. The next prime is 12202212133. The reversal of 12202212100 is 121220221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8848412356 + 3353799744 = 94066^2 + 57912^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98644 + ... + 184756.

Almost surely, 2^12202212100 is an apocalyptic number.

12202212100 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 12202212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14388788260).

12202212100 is an abundant number, since it is smaller than the sum of its proper divisors (16575364420).

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

12202212100 is a wasteful number, since it uses less digits than its factorization.

12202212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86249 (or 86242 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12202212100 its reverse (121220221), we get a palindrome (12323432321).

The spelling of 12202212100 in words is "twelve billion, two hundred two million, two hundred twelve thousand, one hundred".