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12117336 = 2337117983
BaseRepresentation
bin101110001110…
…010101011000
3211210121212020
4232032111120
511100223321
61111414440
7204665340
oct56162530
924717766
1012117336
116926a30
124084420
13268352a
141875d20
1510e54c6
hexb8e558

12117336 has 128 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 3070080.

The previous prime is 12117323. The next prime is 12117341. The reversal of 12117336 is 63371121.

12117336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (756) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145951 + ... + 146033.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 212117336 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 12117336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

12117336 is an abundant number, since it is smaller than the sum of its proper divisors (26589864).

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

12117336 is a wasteful number, since it uses less digits than its factorization.

12117336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 12117336 is about 3480.9964090760. The cubic root of 12117336 is about 229.6866305766.

Adding to 12117336 its reverse (63371121), we get a palindrome (75488457).

The spelling of 12117336 in words is "twelve million, one hundred seventeen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 79 83 84 88 132 154 158 166 168 231 237 249 264 308 316 332 462 474 498 553 581 616 632 664 869 913 924 948 996 1106 1162 1659 1738 1743 1826 1848 1896 1992 2212 2324 2607 2739 3318 3476 3486 3652 4424 4648 5214 5478 6083 6391 6557 6636 6952 6972 7304 10428 10956 12166 12782 13114 13272 13944 18249 19173 19671 20856 21912 24332 25564 26228 36498 38346 39342 45899 48664 51128 52456 72127 72996 76692 78684 91798 137697 144254 145992 153384 157368 183596 216381 275394 288508 367192 432762 504889 550788 577016 865524 1009778 1101576 1514667 1731048 2019556 3029334 4039112 6058668 12117336