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12221200212 = 22313124962723
BaseRepresentation
bin10110110000111000…
…01011011101010100
31011112201100021222220
423120130023131110
5200012111401322
65340410422340
7611565326214
oct133034133524
934481307886
1012221200212
115201604671
122450a319b0
1311c9c32620
1483d15c244
154b7db655c
hex2d870b754

12221200212 has 48 divisors (see below), whose sum is σ = 30734760000. Its totient is φ = 3757298688.

The previous prime is 12221200207. The next prime is 12221200219. The reversal of 12221200212 is 21200212221.

12221200212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12221200191 and 12221200200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221200219) 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, 163483 + ... + 226205.

It is an arithmetic number, because the mean of its divisors is an integer number (640307500).

Almost surely, 212221200212 is an apocalyptic number.

12221200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221200212 is an abundant number, since it is smaller than the sum of its proper divisors (18513559788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221200212 is a wasteful number, since it uses less digits than its factorization.

12221200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63992 (or 63990 counting only the distinct ones).

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

Adding to 12221200212 its reverse (21200212221), we get a palindrome (33421412433).

The spelling of 12221200212 in words is "twelve billion, two hundred twenty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1249 2498 3747 4996 7494 14988 16237 32474 48711 62723 64948 97422 125446 188169 194844 250892 376338 752676 815399 1630798 2446197 3261596 4892394 9784788 78341027 156682054 235023081 313364108 470046162 940092324 1018433351 2036866702 3055300053 4073733404 6110600106 12221200212