Search a number
-
+
12422124 = 2232111319127
BaseRepresentation
bin101111011000…
…101111101100
3212101002221200
4233120233230
511140001444
61122125500
7210405051
oct57305754
925332850
1012422124
117014a20
1241b0890
13275c190
141915028
151155969
hexbd8bec

12422124 has 144 divisors (see below), whose sum is σ = 39137280. Its totient is φ = 3265920.

The previous prime is 12422119. The next prime is 12422129. The reversal of 12422124 is 42122421.

It is an interprime number because it is at equal distance from previous prime (12422119) and next prime (12422129).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 12422097 and 12422106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97749 + ... + 97875.

Almost surely, 212422124 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 12422124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568640).

12422124 is an abundant number, since it is smaller than the sum of its proper divisors (26715156).

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

12422124 is a wasteful number, since it uses less digits than its factorization.

12422124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

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

The square root of 12422124 is about 3524.5033692706. The cubic root of 12422124 is about 231.5964794940.

Adding to 12422124 its reverse (42122421), we get a palindrome (54544545).

The spelling of 12422124 in words is "twelve million, four hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 19 22 26 33 36 38 39 44 52 57 66 76 78 99 114 117 127 132 143 156 171 198 209 228 234 247 254 286 342 381 396 418 429 468 494 508 572 627 684 741 762 836 858 988 1143 1254 1287 1397 1482 1524 1651 1716 1881 2223 2286 2413 2508 2574 2717 2794 2964 3302 3762 4191 4446 4572 4826 4953 5148 5434 5588 6604 7239 7524 8151 8382 8892 9652 9906 10868 12573 14478 14859 16302 16764 18161 19812 21717 24453 25146 26543 28956 29718 31369 32604 36322 43434 48906 50292 53086 54483 59436 62738 72644 79629 86868 94107 97812 106172 108966 125476 159258 163449 188214 217932 238887 282321 318516 326898 345059 376428 477774 564642 653796 690118 955548 1035177 1129284 1380236 2070354 3105531 4140708 6211062 12422124