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12314120 = 23571317199
BaseRepresentation
bin101110111110…
…011000001000
3212011121210112
4232332120020
511123022440
61115533452
7206445140
oct56763010
925147715
1012314120
116a50865
12415a288
132721c80
1418c7920
151133965
hexbbe608

12314120 has 128 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3649536.

The previous prime is 12314083. The next prime is 12314123. The reversal of 12314120 is 2141321.

12314120 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 12314095 and 12314104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61781 + ... + 61979.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 212314120 is an apocalyptic number.

12314120 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 12314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

12314120 is an abundant number, since it is smaller than the sum of its proper divisors (23973880).

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

12314120 is a wasteful number, since it uses less digits than its factorization.

12314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12314120 is about 3509.1480447539. The cubic root of 12314120 is about 230.9233205637.

Adding to 12314120 its reverse (2141321), we get a palindrome (14455441).

The spelling of 12314120 in words is "twelve million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 199 221 238 260 280 340 364 398 442 455 476 520 595 680 728 796 884 910 952 995 1105 1190 1393 1547 1592 1768 1820 1990 2210 2380 2587 2786 3094 3383 3640 3980 4420 4760 5174 5572 6188 6766 6965 7735 7960 8840 10348 11144 12376 12935 13532 13930 15470 16915 18109 20696 23681 25870 27064 27860 30940 33830 36218 43979 47362 51740 55720 61880 67660 72436 87958 90545 94724 103480 118405 135320 144872 175916 181090 189448 219895 236810 307853 351832 362180 439790 473620 615706 724360 879580 947240 1231412 1539265 1759160 2462824 3078530 6157060 12314120