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12221412 = 2237292173
BaseRepresentation
bin101110100111…
…101111100100
3211222220121220
4232213233210
511112041122
61113540340
7205610640
oct56475744
924886556
1012221412
116998145
1241146b0
1326bba08
1418a1c20
15111625c
hexba7be4

12221412 has 72 divisors (see below), whose sum is σ = 33948096. Its totient is φ = 3351936.

The previous prime is 12221401. The next prime is 12221413. The reversal of 12221412 is 21412221.

It is a super-2 number, since 2×122214122 = 298725822547488, which contains 22 as substring.

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 = 12221391 and 12221400.

It is not an unprimeable number, because it can be changed into a prime (12221413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70558 + ... + 70730.

Almost surely, 212221412 is an apocalyptic number.

12221412 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 12221412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974048).

12221412 is an abundant number, since it is smaller than the sum of its proper divisors (21726684).

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

12221412 is a wasteful number, since it uses less digits than its factorization.

12221412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

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

The square root of 12221412 is about 3495.9136144934. The cubic root of 12221412 is about 230.3423509075.

Adding to 12221412 its reverse (21412221), we get a palindrome (33633633).

The spelling of 12221412 in words is "twelve million, two hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 173 174 203 346 348 406 519 609 692 812 841 1038 1211 1218 1682 2076 2422 2436 2523 3364 3633 4844 5017 5046 5887 7266 10034 10092 11774 14532 15051 17661 20068 23548 30102 35119 35322 60204 70238 70644 105357 140476 145493 210714 290986 421428 436479 581972 872958 1018451 1745916 2036902 3055353 4073804 6110706 12221412