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12087120 = 243550363
BaseRepresentation
bin101110000110…
…111101010000
3211202002102010
4232012331100
511043241440
61111022520
7204511263
oct56067520
924662363
1012087120
116906261
12406aa40
132672856
141868cda
1510db580
hexb86f50

12087120 has 40 divisors (see below), whose sum is σ = 37470816. Its totient is φ = 3223168.

The previous prime is 12087107. The next prime is 12087137. The reversal of 12087120 is 2178021.

12087120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24942 + ... + 25421.

Almost surely, 212087120 is an apocalyptic number.

12087120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12087120 is an abundant number, since it is smaller than the sum of its proper divisors (25383696).

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

12087120 is a wasteful number, since it uses less digits than its factorization.

12087120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50379 (or 50373 counting only the distinct ones).

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

The square root of 12087120 is about 3476.6535634141. The cubic root of 12087120 is about 229.4955548049.

Subtracting from 12087120 its reverse (2178021), we obtain a palindrome (9909099).

The spelling of 12087120 in words is "twelve million, eighty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 50363 100726 151089 201452 251815 302178 402904 503630 604356 755445 805808 1007260 1208712 1510890 2014520 2417424 3021780 4029040 6043560 12087120