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12112092 = 223517733
BaseRepresentation
bin101110001101…
…000011011100
3211210100200000
4232031003130
511100041332
61111334300
7204644136
oct56150334
924710600
1012112092
116922aa3
124081390
132681025
141874056
1510e3b7c
hexb8d0dc

12112092 has 72 divisors (see below), whose sum is σ = 33664176. Its totient is φ = 3794688.

The previous prime is 12112069. The next prime is 12112127. The reversal of 12112092 is 29021121.

12112092 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16158 + ... + 16890.

It is an arithmetic number, because the mean of its divisors is an integer number (467558).

Almost surely, 212112092 is an apocalyptic number.

12112092 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 12112092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16832088).

12112092 is an abundant number, since it is smaller than the sum of its proper divisors (21552084).

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

12112092 is a wasteful number, since it uses less digits than its factorization.

12112092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 12112092 is about 3480.2430949576. The cubic root of 12112092 is about 229.6534920912.

The spelling of 12112092 in words is "twelve million, one hundred twelve thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 733 918 972 1377 1466 1836 2199 2754 2932 4131 4398 5508 6597 8262 8796 12461 13194 16524 19791 24922 26388 37383 39582 49844 59373 74766 79164 112149 118746 149532 178119 224298 237492 336447 356238 448596 672894 712476 1009341 1345788 2018682 3028023 4037364 6056046 12112092