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12134120 = 235614973
BaseRepresentation
bin101110010010…
…011011101000
3211211110212212
4232102123220
511101242440
61112024252
7205065305
oct56223350
924743785
1012134120
1169385a9
124092088
13268b06b
14187c0ac
1510ea465
hexb926e8

12134120 has 32 divisors (see below), whose sum is σ = 27754920. Its totient is φ = 4773120.

The previous prime is 12134119. The next prime is 12134147. The reversal of 12134120 is 2143121.

12134120 = T600 + T601 + ... + T660.

12134120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7214596 + 4919524 = 2686^2 + 2218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12134095 and 12134104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 4926.

Almost surely, 212134120 is an apocalyptic number.

12134120 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 12134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13877460).

12134120 is an abundant number, since it is smaller than the sum of its proper divisors (15620800).

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

12134120 is a wasteful number, since it uses less digits than its factorization.

12134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12134120 is about 3483.4063788194. The cubic root of 12134120 is about 229.7926297243.

Adding to 12134120 its reverse (2143121), we get a palindrome (14277241).

Subtracting from 12134120 its reverse (2143121), we obtain a palindrome (9990999).

The spelling of 12134120 in words is "twelve million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 4973 9946 19892 24865 39784 49730 99460 198920 303353 606706 1213412 1516765 2426824 3033530 6067060 12134120