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12116280 = 23351167137
BaseRepresentation
bin101110001110…
…000100111000
3211210120102010
4232032010320
511100210110
61111405520
7204662301
oct56160470
924716363
1012116280
116926160
1240838a0
132682bc7
1418757a8
1510e5020
hexb8e138

12116280 has 128 divisors (see below), whose sum is σ = 40538880. Its totient is φ = 2872320.

The previous prime is 12116231. The next prime is 12116297. The reversal of 12116280 is 8261121.

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 31 ways as a sum of consecutive naturals, for example, 88372 + ... + 88508.

It is an arithmetic number, because the mean of its divisors is an integer number (316710).

Almost surely, 212116280 is an apocalyptic number.

12116280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12116280 is the 2010-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12116280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269440).

12116280 is an abundant number, since it is smaller than the sum of its proper divisors (28422600).

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

12116280 is a wasteful number, since it uses less digits than its factorization.

12116280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 12116280 is about 3480.8447250632. The cubic root of 12116280 is about 229.6799581493.

The spelling of 12116280 in words is "twelve million, one hundred sixteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 67 88 110 120 132 134 137 165 201 220 264 268 274 330 335 402 411 440 536 548 660 670 685 737 804 822 1005 1096 1320 1340 1370 1474 1507 1608 1644 2010 2055 2211 2680 2740 2948 3014 3288 3685 4020 4110 4422 4521 5480 5896 6028 7370 7535 8040 8220 8844 9042 9179 11055 12056 14740 15070 16440 17688 18084 18358 22110 22605 27537 29480 30140 36168 36716 44220 45210 45895 55074 60280 73432 88440 90420 91790 100969 110148 137685 180840 183580 201938 220296 275370 302907 367160 403876 504845 550740 605814 807752 1009690 1101480 1211628 1514535 2019380 2423256 3029070 4038760 6058140 12116280