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222120222012 = 2232133197157837
BaseRepresentation
bin1100111011011101100…
…1011001110100111100
3210020022221101101120100
43032313121121310330
512114400234101022
6250012435121100
722022226510123
oct3166731316474
9706287341510
10222120222012
1186223090417
123706b743190
1317c3b045140
14aa71bd8aba
155ba03ee1ac
hex33b7659d3c

222120222012 has 144 divisors (see below), whose sum is σ = 630604479232. Its totient is φ = 65457745920.

The previous prime is 222120221977. The next prime is 222120222013. The reversal of 222120222012 is 210222021222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120222013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1328358 + ... + 1486194.

Almost surely, 2222120222012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315302239616).

222120222012 is an abundant number, since it is smaller than the sum of its proper divisors (408484257220).

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

222120222012 is a wasteful number, since it uses less digits than its factorization.

222120222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157988 (or 157983 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222120222012 its reverse (210222021222), we get a palindrome (432342243234).

The spelling of 222120222012 in words is "two hundred twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 97 117 124 156 186 194 234 279 291 372 388 403 468 558 582 806 873 1116 1164 1209 1261 1612 1746 2418 2522 3007 3492 3627 3783 4836 5044 6014 7254 7566 9021 11349 12028 14508 15132 18042 22698 27063 36084 39091 45396 54126 78182 108252 117273 156364 157837 234546 315674 351819 469092 473511 631348 703638 947022 1407276 1420533 1894044 2051881 2841066 4103762 4892947 5682132 6155643 8207524 9785894 12311286 14678841 15310189 18466929 19571788 24622572 29357682 30620378 36933858 44036523 45930567 58715364 61240756 63608311 73867716 88073046 91861134 127216622 137791701 176146092 183722268 190824933 199032457 254433244 275583402 381649866 398064914 474615859 551166804 572474799 597097371 763299732 796129828 949231718 1144949598 1194194742 1423847577 1791292113 1898463436 2289899196 2388389484 2847695154 3582584226 4271542731 5695390308 6170006167 7165168452 8543085462 12340012334 17086170924 18510018501 24680024668 37020037002 55530055503 74040074004 111060111006 222120222012