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12116720 = 2457211281
BaseRepresentation
bin101110001110…
…001011110000
3211210121000102
4232032023300
511100213340
61111411532
7204663500
oct56161360
924717012
1012116720
116926520
124083ba8
132683175
141875a00
1510e5215
hexb8e2f0

12116720 has 120 divisors (see below), whose sum is σ = 35877168. Its totient is φ = 3763200.

The previous prime is 12116719. The next prime is 12116729. The reversal of 12116720 is 2761121.

12116720 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 12116692 and 12116701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42980 + ... + 43260.

Almost surely, 212116720 is an apocalyptic number.

12116720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12116720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17938584).

12116720 is an abundant number, since it is smaller than the sum of its proper divisors (23760448).

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

12116720 is a wasteful number, since it uses less digits than its factorization.

12116720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 12116720 is about 3480.9079275384. The cubic root of 12116720 is about 229.6827383745.

Adding to 12116720 its reverse (2761121), we get a palindrome (14877841).

The spelling of 12116720 in words is "twelve million, one hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 281 308 385 392 440 490 539 560 562 616 770 784 880 980 1078 1124 1232 1405 1540 1960 1967 2156 2248 2695 2810 3080 3091 3920 3934 4312 4496 5390 5620 6160 6182 7868 8624 9835 10780 11240 12364 13769 15455 15736 19670 21560 21637 22480 24728 27538 30910 31472 39340 43120 43274 49456 55076 61820 68845 78680 86548 108185 110152 123640 137690 151459 157360 173096 216370 220304 247280 275380 302918 346192 432740 550760 605836 757295 865480 1101520 1211672 1514590 1730960 2423344 3029180 6058360 12116720