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12192 = 253127
BaseRepresentation
bin10111110100000
3121201120
42332200
5342232
6132240
750355
oct27640
917646
1012192
119184
127080
13571b
14462c
15392c
hex2fa0

12192 has 24 divisors (see below), whose sum is σ = 32256. Its totient is φ = 4032.

The previous prime is 12163. The next prime is 12197. The reversal of 12192 is 29121.

It can be divided in two parts, 1219 and 2, that added together give a palindrome (1221).

It is a happy number.

12192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 159.

It is an arithmetic number, because the mean of its divisors is an integer number (1344).

212192 is an apocalyptic number.

12192 is a gapful number since it is divisible by the number (12) 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 12192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128).

12192 is an abundant number, since it is smaller than the sum of its proper divisors (20064).

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

12192 is a wasteful number, since it uses less digits than its factorization.

12192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 12192 is about 110.4173899347. The cubic root of 12192 is about 23.0157422159.

The spelling of 12192 in words is "twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192