Search a number
-
+
12222012202001 = 72438681668203
BaseRepresentation
bin1011000111011010100010…
…1100100001110000010001
31121021102011001012111202122
42301312220230201300101
53100221140110431001
641554414230024025
72401003566415400
oct261665054416021
947242131174678
1012222012202001
113992365296188
12145485b1a8015
136a86b9243954
143037972d9637
15162dc8ad3b1b
hexb1da8b21c11

12222012202001 has 24 divisors (see below), whose sum is σ = 14549778597024. Its totient is φ = 10231188287040.

The previous prime is 12222012201851. The next prime is 12222012202003. The reversal of 12222012202001 is 10020221022221.

It is a happy number.

It is not a de Polignac number, because 12222012202001 - 230 = 12220938460177 is a prime.

It is a super-2 number, since 2×122220122020012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12222012202003) 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 23 ways as a sum of consecutive naturals, for example, 17956766 + ... + 18624968.

It is an arithmetic number, because the mean of its divisors is an integer number (606240774876).

Almost surely, 212222012202001 is an apocalyptic number.

It is an amenable number.

12222012202001 is a deficient number, since it is larger than the sum of its proper divisors (2327766395023).

12222012202001 is an equidigital number, since it uses as much as digits as its factorization.

12222012202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676941 (or 676934 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12222012202001 its reverse (10020221022221), we get a palindrome (22242233224222).

The spelling of 12222012202001 in words is "twelve trillion, two hundred twenty-two billion, twelve million, two hundred two thousand, one".

Divisors: 1 7 43 49 301 2107 8681 60767 373283 425369 668203 2612981 4677421 18290867 28732729 32741947 201129103 1407903721 5800670243 40604691701 249428820449 284232841907 1746001743143 12222012202001