12200000021001 has 24 divisors (see below), whose sum is σ = 18980841352200. Its totient is φ = 7506480370176.

The previous prime is 12200000020993. The next prime is 12200000021081. The reversal of 12200000021001 is 10012000000221.

It can be written as a sum of positive squares in 4 ways, for example, as 1008867571776 + 11191132449225 = 1004424^2 + 3345315^2 .

It is not a de Polignac number, because 12200000021001 - 2³ = 12200000020993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12200000021081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7688176 + ... + 9138273.

It is an arithmetic number, because the mean of its divisors is an integer number (790868389675).

Almost surely, 2^{12200000021001} is an apocalyptic number.

It is an amenable number.

12200000021001 is a deficient number, since it is larger than the sum of its proper divisors (6780841331199).

12200000021001 is a wasteful number, since it uses less digits than its factorization.

12200000021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16832665 (or 16832662 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12200000021001 its reverse (10012000000221), we get a palindrome (22212000021222).

The spelling of 12200000021001 in words is "twelve trillion, two hundred billion, twenty-one thousand, one".