Search a number
-
+
12125340 = 22325314153
BaseRepresentation
bin101110010000…
…010010011100
3211211000211200
4232100102130
511101002330
61111515500
7205030563
oct56202234
924730750
1012125340
116931a47
124088b90
132687076
141878bda
1510e7a60
hexb9049c

12125340 has 144 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 2995200.

The previous prime is 12125339. The next prime is 12125341. The reversal of 12125340 is 4352121.

It is an interprime number because it is at equal distance from previous prime (12125339) and next prime (12125341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12125341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228754 + ... + 228806.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 212125340 is an apocalyptic number.

12125340 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 12125340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

12125340 is an abundant number, since it is smaller than the sum of its proper divisors (27501156).

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

12125340 is a wasteful number, since it uses less digits than its factorization.

12125340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12125340 is about 3482.1458901086. The cubic root of 12125340 is about 229.7371919419.

Adding to 12125340 its reverse (4352121), we get a palindrome (16477461).

The spelling of 12125340 in words is "twelve million, one hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 53 60 62 82 90 93 106 123 124 155 159 164 180 186 205 212 246 265 279 310 318 369 372 410 465 477 492 530 558 615 620 636 738 795 820 930 954 1060 1116 1230 1271 1395 1476 1590 1643 1845 1860 1908 2173 2385 2460 2542 2790 3180 3286 3690 3813 4346 4770 4929 5084 5580 6355 6519 6572 7380 7626 8215 8692 9540 9858 10865 11439 12710 13038 14787 15252 16430 19065 19557 19716 21730 22878 24645 25420 26076 29574 32595 32860 38130 39114 43460 45756 49290 57195 59148 65190 67363 73935 76260 78228 97785 98580 114390 130380 134726 147870 195570 202089 228780 269452 295740 336815 391140 404178 606267 673630 808356 1010445 1212534 1347260 2020890 2425068 3031335 4041780 6062670 12125340