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12140220 = 22353161107
BaseRepresentation
bin101110010011…
…111010111100
3211211210020210
4232103322330
511101441340
61112112420
7205122141
oct56237274
924753223
1012140220
116942144
124095710
132690a81
1418803c8
1510ec180
hexb93ebc

12140220 has 96 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 3052800.

The previous prime is 12140201. The next prime is 12140231. The reversal of 12140220 is 2204121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12140196 and 12140205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113407 + ... + 113513.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 212140220 is an apocalyptic number.

12140220 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 12140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

12140220 is an abundant number, since it is smaller than the sum of its proper divisors (23857476).

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

12140220 is a wasteful number, since it uses less digits than its factorization.

12140220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12140220 is about 3484.2818485306. The cubic root of 12140220 is about 229.8311299813.

Adding to 12140220 its reverse (2204121), we get a palindrome (14344341).

The spelling of 12140220 in words is "twelve million, one hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 61 62 93 107 122 124 155 183 186 214 244 305 310 321 366 372 428 465 535 610 620 642 732 915 930 1070 1220 1284 1605 1830 1860 1891 2140 3210 3317 3660 3782 5673 6420 6527 6634 7564 9455 9951 11346 13054 13268 16585 18910 19581 19902 22692 26108 28365 32635 33170 37820 39162 39804 49755 56730 65270 66340 78324 97905 99510 113460 130540 195810 199020 202337 391620 404674 607011 809348 1011685 1214022 2023370 2428044 3035055 4046740 6070110 12140220