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212221262122212 = 223710723611622399
BaseRepresentation
bin110000010000001110011100…
…111100010100110011100100
31000211102011011122102120022010
4300100032130330110303210
5210304013121100402322
62031205034002434220
762462323466332530
oct6020163474246344
91024364148376263
10212221262122212
1161690593964482
121b975a9b362970
1391554c0caa925
143a597c746abc0
151980566dac20c
hexc1039cf14ce4

212221262122212 has 48 divisors (see below), whose sum is σ = 571212369100800. Its totient is φ = 60067967380512.

The previous prime is 212221262122187. The next prime is 212221262122213.

212221262122212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2122212621222122 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212221262122212.

It is not an unprimeable number, because it can be changed into a prime (212221262122213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11805802212 + ... + 11805820187.

It is an arithmetic number, because the mean of its divisors is an integer number (11900257689600).

Almost surely, 2212221262122212 is an apocalyptic number.

It is an amenable number.

212221262122212 is an abundant number, since it is smaller than the sum of its proper divisors (358991106978588).

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

212221262122212 is a wasteful number, since it uses less digits than its factorization.

212221262122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23611622520 (or 23611622518 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The spelling of 212221262122212 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred sixty-two million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 8988 23611622399 47223244798 70834867197 94446489596 141669734394 165281356793 283339468788 330562713586 495844070379 661125427172 991688140758 1983376281516 2526443596693 5052887193386 7579330790079 10105774386772 15158661580158 17685105176851 30317323160316 35370210353702 53055315530553 70740420707404 106110631061106 212221262122212