Search a number
-
+
12123420 = 22353743127
BaseRepresentation
bin101110001111…
…110100011100
3211210221012120
4232033310130
511100422140
61111502540
7205022151
oct56176434
924727176
1012123420
116930561
124087a50
13268622a
141878228
1510e71d0
hexb8fd1c

12123420 has 96 divisors (see below), whose sum is σ = 35954688. Its totient is φ = 3048192.

The previous prime is 12123373. The next prime is 12123439. The reversal of 12123420 is 2432121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12123420.

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, 95397 + ... + 95523.

It is an arithmetic number, because the mean of its divisors is an integer number (374528).

Almost surely, 212123420 is an apocalyptic number.

12123420 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 12123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17977344).

12123420 is an abundant number, since it is smaller than the sum of its proper divisors (23831268).

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

12123420 is a wasteful number, since it uses less digits than its factorization.

12123420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12123420 is about 3481.8701871265. The cubic root of 12123420 is about 229.7250653076.

Adding to 12123420 its reverse (2432121), we get a palindrome (14555541).

The spelling of 12123420 in words is "twelve million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 111 127 129 148 172 185 215 222 254 258 370 381 430 444 508 516 555 635 645 740 762 860 1110 1270 1290 1524 1591 1905 2220 2540 2580 3182 3810 4699 4773 5461 6364 7620 7955 9398 9546 10922 14097 15910 16383 18796 19092 21844 23495 23865 27305 28194 31820 32766 46990 47730 54610 56388 65532 70485 81915 93980 95460 109220 140970 163830 202057 281940 327660 404114 606171 808228 1010285 1212342 2020570 2424684 3030855 4041140 6061710 12123420