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BaseRepresentation
bin11000011010000
3122010211
43003100
5344441
6133504
751301
oct30320
918124
1012496
119430
127294
1358c3
1447a8
153a81
hex30d0

12496 has 20 divisors (see below), whose sum is σ = 26784. Its totient is φ = 5600.

The previous prime is 12491. The next prime is 12497. The reversal of 12496 is 69421.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141 + ... + 211.

212496 is an apocalyptic number.

12496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12496 is the 71-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392).

12496 is an abundant number, since it is smaller than the sum of its proper divisors (14288).

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

12496 is a wasteful number, since it uses less digits than its factorization.

12496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 12496 is about 111.7855088999. The cubic root of 12496 is about 23.2054683899.

The spelling of 12496 in words is "twelve thousand, four hundred ninety-six".