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12001002221 = 1319712973613
BaseRepresentation
bin10110010110101000…
…01100001011101101
31010222101000002010202
423023110030023231
5144034224032341
65302503043245
7603252556445
oct131324141355
933871002122
1012001002221
1150a928665a
1223ab140525
131193425a60
1481bbdd125
154a38bc79b
hex2cb50c2ed

12001002221 has 16 divisors (see below), whose sum is σ = 13003374384. Its totient is φ = 11010069504.

The previous prime is 12001002199. The next prime is 12001002229. The reversal of 12001002221 is 12220010021.

It is a happy number.

12001002221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 144841225 + 11856160996 = 12035^2 + 108886^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001002221 - 214 = 12000985837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001002229) 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 15 ways as a sum of consecutive naturals, for example, 3319811 + ... + 3323423.

It is an arithmetic number, because the mean of its divisors is an integer number (812710899).

Almost surely, 212001002221 is an apocalyptic number.

It is an amenable number.

12001002221 is a deficient number, since it is larger than the sum of its proper divisors (1002372163).

12001002221 is a wasteful number, since it uses less digits than its factorization.

12001002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12001002221 its reverse (12220010021), we get a palindrome (24221012242).

The spelling of 12001002221 in words is "twelve billion, one million, two thousand, two hundred twenty-one".

Divisors: 1 13 197 1297 2561 3613 16861 46969 255509 711761 3321617 4686061 9252893 60918793 923154017 12001002221