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12116844 = 2233151743
BaseRepresentation
bin101110001110…
…001101101100
3211210121012000
4232032031230
511100214334
61111412300
7204664035
oct56161554
924717160
1012116844
116926623
124084090
13268323c
141875a8c
1510e5299
hexb8e36c

12116844 has 48 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 4006800.

The previous prime is 12116843. The next prime is 12116861. The reversal of 12116844 is 44861121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12116843) 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 15 ways as a sum of consecutive naturals, for example, 15937 + ... + 16679.

It is an arithmetic number, because the mean of its divisors is an integer number (659680).

Almost surely, 212116844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12116844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

12116844 is an abundant number, since it is smaller than the sum of its proper divisors (19547796).

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

12116844 is a wasteful number, since it uses less digits than its factorization.

12116844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 899 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12116844 is about 3480.9257389378. The cubic root of 12116844 is about 229.6835218803.

Adding to 12116844 its reverse (44861121), we get a palindrome (56977965).

The spelling of 12116844 in words is "twelve million, one hundred sixteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 743 906 1359 1486 1812 2229 2718 2972 4077 4458 5436 6687 8154 8916 13374 16308 20061 26748 40122 80244 112193 224386 336579 448772 673158 1009737 1346316 2019474 3029211 4038948 6058422 12116844