[go: up one dir, main page]

Search a number
-
+
12132012 = 2231011001
BaseRepresentation
bin101110010001…
…111010101100
3211211100222210
4232101322230
511101211022
61112010420
7205056204
oct56217254
924740883
1012132012
116936a62
124090a10
13268a109
14187b404
1510e9a0c
hexb91eac

12132012 has 12 divisors (see below), whose sum is σ = 28308056. Its totient is φ = 4044000.

The previous prime is 12132011. The next prime is 12132047. The reversal of 12132012 is 21023121.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1011001 = 12132012 / (1 + 2 + 1 + 3 + 2 + 0 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (12132011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505489 + ... + 505512.

Almost surely, 212132012 is an apocalyptic number.

12132012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12132012 is an abundant number, since it is smaller than the sum of its proper divisors (16176044).

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

12132012 is a wasteful number, since it uses less digits than its factorization.

12132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011008 (or 1011006 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12132012 is about 3483.1037882900. The cubic root of 12132012 is about 229.7793220454.

Adding to 12132012 its reverse (21023121), we get a palindrome (33155133).

The spelling of 12132012 in words is "twelve million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 1011001 2022002 3033003 4044004 6066006 12132012