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12122112 = 21131973
BaseRepresentation
bin101110001111…
…100000000000
3211210212102010
4232033200000
511100401422
61111452520
7205015302
oct56174000
924725363
1012122112
11692a582
124087140
132685762
141877972
1510e6b0c
hexb8f800

12122112 has 48 divisors (see below), whose sum is σ = 32334120. Its totient is φ = 4038656.

The previous prime is 12122111. The next prime is 12122119. The reversal of 12122112 is 21122121.

It is a tau number, because it is divible by the number of its divisors (48).

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 (12122111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5158 + ... + 7130.

Almost surely, 212122112 is an apocalyptic number.

12122112 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 12122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167060).

12122112 is an abundant number, since it is smaller than the sum of its proper divisors (20212008).

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

12122112 is an equidigital number, since it uses as much as digits as its factorization.

12122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1978 counting only the distinct ones).

The product of its digits is 16, while the sum is 12.

The square root of 12122112 is about 3481.6823519672. The cubic root of 12122112 is about 229.7168033047.

Adding to 12122112 its reverse (21122121), we get a palindrome (33244233).

Subtracting 12122112 from its reverse (21122121), we obtain a palindrome (9000009).

The spelling of 12122112 in words is "twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1973 2048 3072 3946 5919 6144 7892 11838 15784 23676 31568 47352 63136 94704 126272 189408 252544 378816 505088 757632 1010176 1515264 2020352 3030528 4040704 6061056 12122112