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12340120 = 23513191249
BaseRepresentation
bin101111000100…
…101110011000
3212012221110111
4233010232120
511124340440
61120254104
7206614012
oct57045630
925187414
1012340120
116a69351
124171334
132730a60
1418d31b2
15113b4ea
hexbc4b98

12340120 has 64 divisors (see below), whose sum is σ = 31500000. Its totient is φ = 4313088.

The previous prime is 12340103. The next prime is 12340157. The reversal of 12340120 is 2104321.

12340120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123401202 = 304557123228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12340120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9256 + ... + 10504.

Almost surely, 212340120 is an apocalyptic number.

12340120 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 12340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750000).

12340120 is an abundant number, since it is smaller than the sum of its proper divisors (19159880).

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

12340120 is a wasteful number, since it uses less digits than its factorization.

12340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12340120 is about 3512.8506942368. The cubic root of 12340120 is about 231.0857299406.

Adding to 12340120 its reverse (2104321), we get a palindrome (14444441).

The spelling of 12340120 in words is "twelve million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1249 1976 2470 2498 4940 4996 6245 9880 9992 12490 16237 23731 24980 32474 47462 49960 64948 81185 94924 118655 129896 162370 189848 237310 308503 324740 474620 617006 649480 949240 1234012 1542515 2468024 3085030 6170060 12340120