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12108720 = 2435133881
BaseRepresentation
bin101110001100…
…001110110000
3211210012001010
4232030032300
511044434340
61111310520
7204631251
oct56141660
924705033
1012108720
116920508
12407b440
13267c630
141872b28
1510e2b80
hexb8c3b0

12108720 has 80 divisors (see below), whose sum is σ = 40434912. Its totient is φ = 2979840.

The previous prime is 12108713. The next prime is 12108727. The reversal of 12108720 is 2780121.

It is an interprime number because it is at equal distance from previous prime (12108713) and next prime (12108727).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×121087202 = 293242200076800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12108727) by changing a digit.

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, 1180 + ... + 5060.

Almost surely, 212108720 is an apocalyptic number.

12108720 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 12108720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217456).

12108720 is an abundant number, since it is smaller than the sum of its proper divisors (28326192).

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

12108720 is a wasteful number, since it uses less digits than its factorization.

12108720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 3904 counting only the distinct ones).

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

The square root of 12108720 is about 3479.7586123178. The cubic root of 12108720 is about 229.6321783096.

Adding to 12108720 its reverse (2780121), we get a palindrome (14888841).

The spelling of 12108720 in words is "twelve million, one hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3881 7762 11643 15524 19405 23286 31048 38810 46572 50453 58215 62096 77620 93144 100906 116430 151359 155240 186288 201812 232860 252265 302718 310480 403624 465720 504530 605436 756795 807248 931440 1009060 1210872 1513590 2018120 2421744 3027180 4036240 6054360 12108720