12212333200 has 60 divisors (see below), whose sum is σ = 29392242660. Its totient is φ = 4876257280.

The previous prime is 12212333167. The next prime is 12212333213. The reversal of 12212333200 is 233321221.

It can be written as a sum of positive squares in 6 ways, for example, as 437479056 + 11774854144 = 20916^2 + 108512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200772 + ... + 254428.

It is an arithmetic number, because the mean of its divisors is an integer number (489870711).

Almost surely, 2^12212333200 is an apocalyptic number.

12212333200 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 12212333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696121330).

12212333200 is an abundant number, since it is smaller than the sum of its proper divisors (17179909460).

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

12212333200 is a wasteful number, since it uses less digits than its factorization.

12212333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54244 (or 54233 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12212333200 its reverse (233321221), we get a palindrome (12445654421).

It can be divided in two parts, 12 and 212333200, that added together give a palindrome (212333212).

The spelling of 12212333200 in words is "twelve billion, two hundred twelve million, three hundred thirty-three thousand, two hundred".