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12112110 = 2325592281
BaseRepresentation
bin101110001101…
…000011101110
3211210100200200
4232031003232
511100041420
61111334330
7204644163
oct56150356
924710620
1012112110
11692300a
1240813a6
13268103a
14187406a
1510e3b90
hexb8d0ee

12112110 has 48 divisors (see below), whose sum is σ = 32039280. Its totient is φ = 3173760.

The previous prime is 12112069. The next prime is 12112127. The reversal of 12112110 is 1121121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12112092 and 12112101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4170 + ... + 6450.

It is an arithmetic number, because the mean of its divisors is an integer number (667485).

Almost surely, 212112110 is an apocalyptic number.

12112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16019640).

12112110 is an abundant number, since it is smaller than the sum of its proper divisors (19927170).

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

12112110 is a wasteful number, since it uses less digits than its factorization.

12112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 12112110 is about 3480.2456809829. The cubic root of 12112110 is about 229.6536058552.

Adding to 12112110 its reverse (1121121), we get a palindrome (13233231).

It can be divided in two parts, 1211 and 2110, that added together give a triangular number (3321 = T81).

The spelling of 12112110 in words is "twelve million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2281 2655 4562 5310 6843 11405 13686 20529 22810 34215 41058 68430 102645 134579 205290 269158 403737 672895 807474 1211211 1345790 2018685 2422422 4037370 6056055 12112110