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12223222223322 = 23112195261168433
BaseRepresentation
bin1011000111011111000011…
…0100011001000111011010
31121021112021101001221222010
42301313300310121013122
53100231124342121242
641555134253010350
72401045561422345
oct261676064310732
947245241057863
1012223222223322
113992926317100
121454b384839b6
136a884cb365b6
1430386dcb745c
15162e49e4d89c
hexb1df0d191da

12223222223322 has 96 divisors (see below), whose sum is σ = 28290686679360. Its totient is φ = 3508371187200.

The previous prime is 12223222223281. The next prime is 12223222223369. The reversal of 12223222223322 is 22332222232221.

It is a happy number.

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 12223222223322.

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 47 ways as a sum of consecutive naturals, for example, 72486018 + ... + 72654450.

It is an arithmetic number, because the mean of its divisors is an integer number (294694652910).

Almost surely, 212223222223322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223222223322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14145343339680).

12223222223322 is an abundant number, since it is smaller than the sum of its proper divisors (16067464456038).

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

12223222223322 is a wasteful number, since it uses less digits than its factorization.

12223222223322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173740 (or 173729 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 12223222223322 its reverse (22332222232221), we get a palindrome (34555444455543).

The spelling of 12223222223322 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty-two million, two hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 4598 5261 6897 10522 13794 15783 31566 57871 99959 115742 168433 173613 199918 299877 336866 347226 505299 599754 636581 1010598 1099549 1273162 1852763 1909743 2199098 3200227 3298647 3705526 3819486 5558289 6400454 6597294 9600681 11116578 12095039 19201362 20380393 24190078 35202497 36285117 40760786 61141179 70404994 72570234 105607491 122282358 211214982 387227467 774454934 886126013 1161682401 1772252026 2323364802 2658378039 5316756078 9747386143 16836394247 19494772286 29242158429 33672788494 50509182741 58484316858 101018365482 107221247573 185200336717 214442495146 321663742719 370400673434 555601010151 643327485438 1111202020302 2037203703887 4074407407774 6111611111661 12223222223322