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12128022 = 2331072099
BaseRepresentation
bin101110010000…
…111100010110
3211211011112000
4232100330112
511101044042
61111540130
7205041444
oct56207426
924734460
1012128022
116933a65
12408a646
13268835a
141879b94
1510e874c
hexb90f16

12128022 has 32 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 4002984.

The previous prime is 12128009. The next prime is 12128027. The reversal of 12128022 is 22082121.

It is a happy number.

12128022 is digitally balanced in base 2 and base 4, because in such bases 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 junction number, because it is equal to n+sod(n) for n = 12127986 and 12128004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12128027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4729 + ... + 6827.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 212128022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12128022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

12128022 is an abundant number, since it is smaller than the sum of its proper divisors (15087978).

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

12128022 is a wasteful number, since it uses less digits than its factorization.

12128022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12128022 is about 3482.5309761724. The cubic root of 12128022 is about 229.7541291914.

The spelling of 12128022 in words is "twelve million, one hundred twenty-eight thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2099 2889 4198 5778 6297 12594 18891 37782 56673 113346 224593 449186 673779 1347558 2021337 4042674 6064011 12128022