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212112220012 = 2271113110315099
BaseRepresentation
bin1100010110001011011…
…1111001111101101100
3202021111110120012202121
43011202313321331230
511433401212020022
6241235405002324
721216224056540
oct3054267717554
9667443505677
10212112220012
1181a57900390
1235137b533a4
13170047b5674
14a3a2991a20
1557b69b02c7
hex3162df9f6c

212112220012 has 96 divisors (see below), whose sum is σ = 466866892800. Its totient is φ = 81914664000.

The previous prime is 212112220009. The next prime is 212112220031. The reversal of 212112220012 is 210022211212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41596239 + ... + 41601337.

It is an arithmetic number, because the mean of its divisors is an integer number (4863196800).

Almost surely, 2212112220012 is an apocalyptic number.

212112220012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233433446400).

212112220012 is an abundant number, since it is smaller than the sum of its proper divisors (254754672788).

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

212112220012 is a wasteful number, since it uses less digits than its factorization.

212112220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6281 counting only the distinct ones).

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

Adding to 212112220012 its reverse (210022211212), we get a palindrome (422134431224).

The spelling of 212112220012 in words is "two hundred twelve billion, one hundred twelve million, two hundred twenty thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 524 917 1031 1441 1834 2062 2882 3668 4124 5099 5764 7217 10087 10198 11341 14434 20174 20396 22682 28868 35693 40348 45364 56089 71386 79387 112178 135061 142772 158774 224356 270122 317548 392623 540244 667969 785246 945427 1335938 1485671 1570492 1890854 2671876 2971342 3781708 4675783 5257069 5942684 7347659 9351566 10399697 10514138 14695318 18703132 20799394 21028276 29390636 36799483 41598788 51433613 57827759 73598966 102867226 115655518 147197932 205734452 231311036 404794313 688676039 809588626 1377352078 1619177252 2754704156 4820732273 7575436429 9641464546 15150872858 19282929092 30301745716 53028055003 106056110006 212112220012