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12442122 = 23271147191
BaseRepresentation
bin101111011101…
…101000001010
3212102010101100
4233131220022
511141121442
61122402230
7210520260
oct57355012
925363340
1012442122
117028a50
124200376
132768304
14191c430
15115b84c
hexbdda0a

12442122 has 96 divisors (see below), whose sum is σ = 34504704. Its totient is φ = 3146400.

The previous prime is 12442117. The next prime is 12442139. The reversal of 12442122 is 22124421.

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

It is a junction number, because it is equal to n+sod(n) for n = 12442095 and 12442104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65047 + ... + 65237.

It is an arithmetic number, because the mean of its divisors is an integer number (359424).

Almost surely, 212442122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12442122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252352).

12442122 is an abundant number, since it is smaller than the sum of its proper divisors (22062582).

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

12442122 is a wasteful number, since it uses less digits than its factorization.

12442122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

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

The square root of 12442122 is about 3527.3392238343. The cubic root of 12442122 is about 231.7206929073.

Adding to 12442122 its reverse (22124421), we get a palindrome (34566543).

The spelling of 12442122 in words is "twelve million, four hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 47 63 66 77 94 99 126 141 154 191 198 231 282 329 382 423 462 517 573 658 693 846 987 1034 1146 1337 1386 1551 1719 1974 2101 2674 2961 3102 3438 3619 4011 4202 4653 5922 6303 7238 8022 8977 9306 10857 12033 12606 14707 17954 18909 21714 24066 26931 29414 32571 37818 44121 53862 62839 65142 80793 88242 98747 125678 132363 161586 188517 197494 264726 296241 377034 565551 592482 691229 888723 1131102 1382458 1777446 2073687 4147374 6221061 12442122