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12117144 = 2331371547
BaseRepresentation
bin101110001110…
…010010011000
3211210121121010
4232032102120
511100222034
61111413520
7204664644
oct56162230
924717533
1012117144
116926876
1240842a0
132683410
141875c24
1510e53e9
hexb8e498

12117144 has 64 divisors (see below), whose sum is σ = 33143040. Its totient is φ = 3669120.

The previous prime is 12117121. The next prime is 12117221. The reversal of 12117144 is 44171121.

It is a self number, because there is not a number n which added to its sum of digits gives 12117144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21879 + ... + 22425.

It is an arithmetic number, because the mean of its divisors is an integer number (517860).

Almost surely, 212117144 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 12117144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571520).

12117144 is an abundant number, since it is smaller than the sum of its proper divisors (21025896).

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

12117144 is a wasteful number, since it uses less digits than its factorization.

12117144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 636 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 12117144 is about 3480.9688306562. The cubic root of 12117144 is about 229.6854174368.

Adding to 12117144 its reverse (44171121), we get a palindrome (56288265).

The spelling of 12117144 in words is "twelve million, one hundred seventeen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 547 568 852 923 1094 1641 1704 1846 2188 2769 3282 3692 4376 5538 6564 7111 7384 11076 13128 14222 21333 22152 28444 38837 42666 56888 77674 85332 116511 155348 170664 233022 310696 466044 504881 932088 1009762 1514643 2019524 3029286 4039048 6058572 12117144