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12412423422 = 2337592692069
BaseRepresentation
bin10111000111101011…
…01000110011111110
31012001001011102221000
423203311220303332
5200410040022142
65411401151130
7616406600250
oct134365506376
935031142830
1012412423422
11529a542483
1224a4a8b4a6
13122a735a59
1485a6d7cd0
154c9a8a14c
hex2e3d68cfe

12412423422 has 128 divisors (see below), whose sum is σ = 32192640000. Its totient is φ = 3471659136.

The previous prime is 12412423393. The next prime is 12412423427. The reversal of 12412423422 is 22432421421.

It is a happy number.

12412423422 is a `hidden beast` number, since 12 + 412 + 4 + 234 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412423427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5998204 + ... + 6000272.

It is an arithmetic number, because the mean of its divisors is an integer number (251505000).

Almost surely, 212412423422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412423422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096320000).

12412423422 is an abundant number, since it is smaller than the sum of its proper divisors (19780216578).

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

12412423422 is a wasteful number, since it uses less digits than its factorization.

12412423422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2409 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 12412423422 its reverse (22432421421), we get a palindrome (34844844843).

The spelling of 12412423422 in words is "twelve billion, four hundred twelve million, four hundred twenty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 269 354 378 413 531 538 807 826 1062 1239 1593 1614 1883 2069 2421 2478 3186 3717 3766 4138 4842 5649 6207 7263 7434 11151 11298 12414 14483 14526 15871 16947 18621 22302 28966 31742 33894 37242 43449 47613 50841 55863 86898 95226 101682 111097 111726 122071 130347 142839 222194 244142 260694 285678 333291 366213 391041 428517 556561 666582 732426 782082 854497 857034 999873 1098639 1113122 1669683 1708994 1999746 2197278 2563491 2999619 3295917 3339366 3895927 5009049 5126982 5999238 6591834 7690473 7791854 10018098 11687781 15027147 15380946 23071419 23375562 30054294 32837099 35063343 46142838 65674198 70126686 98511297 105190029 197022594 210380058 229859693 295533891 459719386 591067782 689579079 886601673 1379158158 1773203346 2068737237 4137474474 6206211711 12412423422