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4122112 = 298397
BaseRepresentation
bin1111101110011000000000
321202102110211
433232120000
52023401422
6224203504
750015551
oct17563000
97672424
104122112
112366005
121469594
13b14327
14794328
15566577
hex3ee600

4122112 has 40 divisors (see below), whose sum is σ = 8421336. Its totient is φ = 2015232.

The previous prime is 4122103. The next prime is 4122119. The reversal of 4122112 is 2112214.

It is a happy number.

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 = 4122092 and 4122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122119) 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, 42448 + ... + 42544.

Almost surely, 24122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210668).

4122112 is an abundant number, since it is smaller than the sum of its proper divisors (4299224).

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

4122112 is an frugal number, since it uses more digits than its factorization.

4122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its digits is 32, while the sum is 13.

The square root of 4122112 is about 2030.2985002211. The cubic root of 4122112 is about 160.3392800480.

Adding to 4122112 its reverse (2112214), we get a palindrome (6234326).

The spelling of 4122112 in words is "four million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 97 128 166 194 256 332 388 512 664 776 1328 1552 2656 3104 5312 6208 8051 10624 12416 16102 21248 24832 32204 42496 49664 64408 128816 257632 515264 1030528 2061056 4122112