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12111216 = 2431321493
BaseRepresentation
bin101110001100…
…110101110000
3211210022110120
4232030311300
511100024331
61111330240
7204641445
oct56146560
924708416
1012111216
116922377
124080980
132680800
1418739cc
1510e3796
hexb8cd70

12111216 has 60 divisors (see below), whose sum is σ = 33901848. Its totient is φ = 3724032.

The previous prime is 12111199. The next prime is 12111217. The reversal of 12111216 is 61211121.

It is a happy number.

12111216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12111195 and 12111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7366 + ... + 8858.

Almost surely, 212111216 is an apocalyptic number.

12111216 is a gapful number since it is divisible by the number (16) 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 12111216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16950924).

12111216 is an abundant number, since it is smaller than the sum of its proper divisors (21790632).

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

12111216 is a wasteful number, since it uses less digits than its factorization.

12111216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1511 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 12111216 is about 3480.1172394044. The cubic root of 12111216 is about 229.6479554393.

Adding to 12111216 its reverse (61211121), we get a palindrome (73322337).

The spelling of 12111216 in words is "twelve million, one hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 1493 2028 2704 2986 4056 4479 5972 8112 8958 11944 17916 19409 23888 35832 38818 58227 71664 77636 116454 155272 232908 252317 310544 465816 504634 756951 931632 1009268 1513902 2018536 3027804 4037072 6055608 12111216