Search a number
-
+
12122196 = 22323167263
BaseRepresentation
bin101110001111…
…100001010100
3211210212112020
4232033201110
511100402241
61111453140
7205015452
oct56174124
924725466
1012122196
11692a649
1240871b0
1326857c8
1418779d2
1510e6b66
hexb8f854

12122196 has 48 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 3827296.

The previous prime is 12122191. The next prime is 12122221. The reversal of 12122196 is 69122121.

12122196 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122191) 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, 45961 + ... + 46223.

It is an arithmetic number, because the mean of its divisors is an integer number (620928).

Almost surely, 212122196 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 12122196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

12122196 is an abundant number, since it is smaller than the sum of its proper divisors (17682348).

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

12122196 is a wasteful number, since it uses less digits than its factorization.

12122196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 12122196 is about 3481.6944150801. The cubic root of 12122196 is about 229.7173339099.

The spelling of 12122196 in words is "twelve million, one hundred twenty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 167 263 276 334 501 526 668 789 1002 1052 1578 2004 3156 3841 6049 7682 11523 12098 15364 18147 23046 24196 36294 43921 46092 72588 87842 131763 175684 263526 527052 1010183 2020366 3030549 4040732 6061098 12122196