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12111132 = 22311219439
BaseRepresentation
bin101110001100…
…110100011100
3211210022100110
4232030310130
511100024012
61111330020
7204641265
oct56146434
924708313
1012111132
116922300
124080910
132680767
14187396c
1510e373c
hexb8cd1c

12111132 has 72 divisors (see below), whose sum is σ = 32771200. Its totient is φ = 3468960.

The previous prime is 12111103. The next prime is 12111139. The reversal of 12111132 is 23111121.

12111132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111139) 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, 27369 + ... + 27807.

Almost surely, 212111132 is an apocalyptic number.

12111132 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 12111132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385600).

12111132 is an abundant number, since it is smaller than the sum of its proper divisors (20660068).

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

12111132 is a wasteful number, since it uses less digits than its factorization.

12111132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 474 counting only the distinct ones).

The product of its digits is 12, while the sum is 12.

The square root of 12111132 is about 3480.1051708246. The cubic root of 12111132 is about 229.6474245135.

Adding to 12111132 its reverse (23111121), we get a palindrome (35222253).

The spelling of 12111132 in words is "twelve million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 418 439 484 627 726 836 878 1254 1317 1452 1756 2299 2508 2634 4598 4829 5268 6897 8341 9196 9658 13794 14487 16682 19316 25023 27588 28974 33364 50046 53119 57948 91751 100092 106238 159357 183502 212476 275253 318714 367004 550506 637428 1009261 1101012 2018522 3027783 4037044 6055566 12111132