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12141220 = 2257213953
BaseRepresentation
bin101110010100…
…001010100100
3211211211121211
4232110022210
511102004340
61112121204
7205125100
oct56241244
924754554
1012141220
116942973
124096204
132691370
141880900
1510ec5ea
hexb942a4

12141220 has 72 divisors (see below), whose sum is σ = 31974264. Its totient is φ = 3838464.

The previous prime is 12141203. The next prime is 12141221. The reversal of 12141220 is 2214121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86436 + 12054784 = 294^2 + 3472^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12141220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12264 + ... + 13216.

It is an arithmetic number, because the mean of its divisors is an integer number (444087).

Almost surely, 212141220 is an apocalyptic number.

12141220 is a gapful number since it is divisible by the number (10) 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 12141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987132).

12141220 is an abundant number, since it is smaller than the sum of its proper divisors (19833044).

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

12141220 is a wasteful number, since it uses less digits than its factorization.

12141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 980 counting only the distinct ones).

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

The square root of 12141220 is about 3484.4253471699. The cubic root of 12141220 is about 229.8374402683.

Adding to 12141220 its reverse (2214121), we get a palindrome (14355341).

The spelling of 12141220 in words is "twelve million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 953 980 1274 1820 1906 2548 3185 3812 4765 6370 6671 9530 12389 12740 13342 19060 24778 26684 33355 46697 49556 61945 66710 86723 93394 123890 133420 173446 186788 233485 247780 346892 433615 466970 607061 867230 933940 1214122 1734460 2428244 3035305 6070610 12141220