12002221221210 has 384 divisors, whose sum is σ = 36502202340864. Its totient is φ = 2706468526080.

The previous prime is 12002221221197. The next prime is 12002221221239. The reversal of 12002221221210 is 1212212220021.

It is a happy number.

12002221221210 is a `hidden beast` number, since 1 + 200 + 2 + 221 + 221 + 21 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3064134172 + ... + 3064138088.

It is an arithmetic number, because the mean of its divisors is an integer number (95057818596).

Almost surely, 2^{12002221221210} is an apocalyptic number.

12002221221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002221221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251101170432).

12002221221210 is an abundant number, since it is smaller than the sum of its proper divisors (24499981119654).

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

12002221221210 is a wasteful number, since it uses less digits than its factorization.

12002221221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12002221221210 its reverse (1212212220021), we get a palindrome (13214433441231).

The spelling of 12002221221210 in words is "twelve trillion, two billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred ten".