12021220440200 has 192 divisors, whose sum is σ = 28595909744640. Its totient is φ = 4698466375680.

The previous prime is 12021220440149. The next prime is 12021220440209. The reversal of 12021220440200 is 204402212021.

12021220440200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12021220440209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4473843257 + ... + 4473845943.

It is an arithmetic number, because the mean of its divisors is an integer number (148937029920).

Almost surely, 2^{12021220440200} is an apocalyptic number.

12021220440200 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 12021220440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14297954872320).

12021220440200 is an abundant number, since it is smaller than the sum of its proper divisors (16574689304440).

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

12021220440200 is a wasteful number, since it uses less digits than its factorization.

12021220440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12021220440200 its reverse (204402212021), we get a palindrome (12225622652221).

The spelling of 12021220440200 in words is "twelve trillion, twenty-one billion, two hundred twenty million, four hundred forty thousand, two hundred".