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12220122201 = 372374154799
BaseRepresentation
bin10110110000110000…
…00100010001011001
31011112122022112020120
423120120010101121
5200011322402301
65340331343453
7611553216300
oct133030042131
934478275216
1012220122201
115200a38751
1224505b1b89
1311c9945a51
1483cd5b437
154b7c51e36
hex2d8604459

12220122201 has 48 divisors (see below), whose sum is σ = 19941062400. Its totient is φ = 6628366080.

The previous prime is 12220122197. The next prime is 12220122259. The reversal of 12220122201 is 10222102221.

It is not a de Polignac number, because 12220122201 - 22 = 12220122197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12220122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195600 + ... + 250398.

It is an arithmetic number, because the mean of its divisors is an integer number (415438800).

Almost surely, 212220122201 is an apocalyptic number.

It is an amenable number.

12220122201 is a deficient number, since it is larger than the sum of its proper divisors (7720940199).

12220122201 is a wasteful number, since it uses less digits than its factorization.

12220122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54894 (or 54887 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12220122201 its reverse (10222102221), we get a palindrome (22442224422).

It can be divided in two parts, 12220 and 122201, that added together give a triangular number (134421 = T518).

The spelling of 12220122201 in words is "twelve billion, two hundred twenty million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 21 37 41 49 111 123 147 259 287 777 861 1517 1813 2009 4551 5439 6027 10619 31857 54799 74333 164397 222999 383593 1150779 2027563 2246759 2685151 6082689 6740277 8055453 14192941 15727313 42578823 47181939 83130083 99350587 110091191 249390249 298051761 330273573 581910581 1745731743 4073374067 12220122201