12201122000221 has 64 divisors (see below), whose sum is σ = 16049324261376. Its totient is φ = 8993296224000.

The previous prime is 12201122000213. The next prime is 12201122000303. The reversal of 12201122000221 is 12200022110221.

It is a happy number.

It is not a de Polignac number, because 12201122000221 - 2³ = 12201122000213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201122000195 and 12201122000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201122000521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152536980 + ... + 152616946.

It is an arithmetic number, because the mean of its divisors is an integer number (250770691584).

Almost surely, 2^{12201122000221} is an apocalyptic number.

12201122000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201122000221 is a deficient number, since it is larger than the sum of its proper divisors (3848202261155).

12201122000221 is a wasteful number, since it uses less digits than its factorization.

12201122000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80962.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12201122000221 its reverse (12200022110221), we get a palindrome (24401144110442).

The spelling of 12201122000221 in words is "twelve trillion, two hundred one billion, one hundred twenty-two million, two hundred twenty-one", and thus it is an aban number.