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212211200212 = 221124189120157
BaseRepresentation
bin1100010110100011000…
…1011111000011010100
3202021202100210221001221
43011220301133003110
511434102031401322
6241253302300124
721221535303544
oct3055061370324
9667670727057
10212211200212
1181aa8765700
1235165127644
131701c15cc2b
14a3b1b99324
1557c05129c7
hex3168c5f0d4

212211200212 has 72 divisors (see below), whose sum is σ = 422857630440. Its totient is φ = 93048806400.

The previous prime is 212211200189. The next prime is 212211200221. The reversal of 212211200212 is 212002112212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15852320836 + 196358879376 = 125906^2 + 443124^2 .

It is a super-4 number, since 4×2122112002124 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1706038 + ... + 1826194.

It is an arithmetic number, because the mean of its divisors is an integer number (5873022645).

Almost surely, 2212211200212 is an apocalyptic number.

212211200212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212211200212 is a deficient number, since it is larger than the sum of its proper divisors (210646430228).

212211200212 is a wasteful number, since it uses less digits than its factorization.

212211200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120313 (or 120300 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212211200212 its reverse (212002112212), we get a palindrome (424213312424).

The spelling of 212211200212 in words is "two hundred twelve billion, two hundred eleven million, two hundred thousand, two hundred twelve".

Divisors: 1 2 4 11 22 41 44 82 89 121 164 178 242 356 451 484 902 979 1804 1958 3649 3916 4961 7298 9922 10769 14596 19844 21538 40139 43076 80278 120157 160556 240314 441529 480628 883058 1321727 1766116 2643454 4926437 5286908 9852874 10693973 14538997 19705748 21387946 29077994 42775892 54190807 58155988 108381614 117633703 216763228 235267406 438452893 470534812 596098877 876905786 1192197754 1293970733 1753811572 2384395508 2587941466 4822981823 5175882932 9645963646 19291927292 53052800053 106105600106 212211200212