12213402100 has 72 divisors (see below), whose sum is σ = 26721336600. Its totient is φ = 4845281280.

The previous prime is 12213402083. The next prime is 12213402107. The reversal of 12213402100 is 120431221.

It can be written as a sum of positive squares in 12 ways, for example, as 255104784 + 11958297316 = 15972^2 + 109354^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213402107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11642376 + ... + 11643424.

It is an arithmetic number, because the mean of its divisors is an integer number (371129675).

Almost surely, 2^12213402100 is an apocalyptic number.

12213402100 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 12213402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13360668300).

12213402100 is an abundant number, since it is smaller than the sum of its proper divisors (14507934500).

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

12213402100 is a wasteful number, since it uses less digits than its factorization.

12213402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1902 counting only the distinct ones).

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

Adding to 12213402100 its reverse (120431221), we get a palindrome (12333833321).

The spelling of 12213402100 in words is "twelve billion, two hundred thirteen million, four hundred two thousand, one hundred".