12201200440 has 128 divisors (see below), whose sum is σ = 32296320000. Its totient is φ = 4089899520.

The previous prime is 12201200393. The next prime is 12201200443. The reversal of 12201200440 is 4400210221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201200443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8138811 + ... + 8140309.

It is an arithmetic number, because the mean of its divisors is an integer number (252315000).

Almost surely, 2^12201200440 is an apocalyptic number.

12201200440 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 12201200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148160000).

12201200440 is an abundant number, since it is smaller than the sum of its proper divisors (20095119560).

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

12201200440 is a wasteful number, since it uses less digits than its factorization.

12201200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12201200440 its reverse (4400210221), we get a palindrome (16601410661).

The spelling of 12201200440 in words is "twelve billion, two hundred one million, two hundred thousand, four hundred forty".