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12220000201 = 101661183041
BaseRepresentation
bin10110110000101111…
…00110011111001001
31011112122002022220001
423120113212133021
5200011310001301
65340325003001
7611552200513
oct133027463711
934478068801
1012220000201
115200965022
122450553461
1311c9902366
1483cd28bb3
154b7c2ac01
hex2d85e67c9

12220000201 has 8 divisors (see below), whose sum is σ = 12359728008. Its totient is φ = 12080640000.

The previous prime is 12220000181. The next prime is 12220000217. The reversal of 12220000201 is 10200002221.

It can be written as a sum of positive squares in 4 ways, for example, as 8541456400 + 3678543801 = 92420^2 + 60651^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12220000201 - 29 = 12219999689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220030201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24760 + ... + 158281.

It is an arithmetic number, because the mean of its divisors is an integer number (1544966001).

Almost surely, 212220000201 is an apocalyptic number.

It is an amenable number.

12220000201 is a deficient number, since it is larger than the sum of its proper divisors (139727807).

12220000201 is a wasteful number, since it uses less digits than its factorization.

12220000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183803.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12220000201 its reverse (10200002221), we get a palindrome (22420002422).

The spelling of 12220000201 in words is "twelve billion, two hundred twenty million, two hundred one", and thus it is an aban number.

Divisors: 1 101 661 66761 183041 18487141 120990101 12220000201