Search a number
-
+
12012160 = 2751372
BaseRepresentation
bin101101110100…
…101010000000
3211121021120211
4231310222000
511033342120
61105243504
7204046606
oct55645200
924537524
1012012160
116864a06
124033594
1326476b4
141849876
1510c425a
hexb74a80

12012160 has 48 divisors (see below), whose sum is σ = 28927710. Its totient is φ = 4769792.

The previous prime is 12012157. The next prime is 12012167. The reversal of 12012160 is 6121021.

It can be written as a sum of positive squares in 3 ways, for example, as 10394176 + 1617984 = 3224^2 + 1272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12012160.

It is not an unprimeable number, because it can be changed into a prime (12012167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87612 + ... + 87748.

Almost surely, 212012160 is an apocalyptic number.

12012160 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 12012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463855).

12012160 is an abundant number, since it is smaller than the sum of its proper divisors (16915550).

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

12012160 is an frugal number, since it uses more digits than its factorization.

12012160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 12012160 is about 3465.8563155445. The cubic root of 12012160 is about 229.0201542110.

Adding to 12012160 its reverse (6121021), we get a palindrome (18133181).

The spelling of 12012160 in words is "twelve million, twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 274 320 548 640 685 1096 1370 2192 2740 4384 5480 8768 10960 17536 18769 21920 37538 43840 75076 87680 93845 150152 187690 300304 375380 600608 750760 1201216 1501520 2402432 3003040 6006080 12012160