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12414012 = 223131731151
BaseRepresentation
bin101111010110…
…110000111100
3212100200211020
4233112300330
511134222022
61122024140
7210342312
oct57266074
925320736
1012414012
117009916
1241a8050
132758590
1419120b2
15115335c
hexbd6c3c

12414012 has 96 divisors (see below), whose sum is σ = 34320384. Its totient is φ = 3456000.

The previous prime is 12413993. The next prime is 12414019. The reversal of 12414012 is 21041421.

It is a super-2 number, since 2×124140122 = 308215387872288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12413982 and 12414000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82137 + ... + 82287.

It is an arithmetic number, because the mean of its divisors is an integer number (357504).

Almost surely, 212414012 is an apocalyptic number.

12414012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12414012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160192).

12414012 is an abundant number, since it is smaller than the sum of its proper divisors (21906372).

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

12414012 is a wasteful number, since it uses less digits than its factorization.

12414012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12414012 is about 3523.3523809009. The cubic root of 12414012 is about 231.5460554887.

Adding to 12414012 its reverse (21041421), we get a palindrome (33455433).

It can be divided in two parts, 1241 and 4012, that added together give a triangular number (5253 = T102).

The spelling of 12414012 in words is "twelve million, four hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 31 34 39 51 52 62 68 78 93 102 124 151 156 186 204 221 302 372 403 442 453 527 604 663 806 884 906 1054 1209 1326 1581 1612 1812 1963 2108 2418 2567 2652 3162 3926 4681 4836 5134 5889 6324 6851 7701 7852 9362 10268 11778 13702 14043 15402 18724 20553 23556 27404 28086 30804 33371 41106 56172 60853 66742 79577 82212 100113 121706 133484 159154 182559 200226 238731 243412 318308 365118 400452 477462 730236 954924 1034501 2069002 3103503 4138004 6207006 12414012