Search a number
-
+
12201020 = 22513167281
BaseRepresentation
bin101110100010…
…110000111100
3211221212122122
4232202300330
511110413040
61113302112
7205464326
oct56426074
924855578
1012201020
116983897
124104938
1326b2650
141898616
1511101b5
hexba2c3c

12201020 has 48 divisors (see below), whose sum is σ = 27857088. Its totient is φ = 4462080.

The previous prime is 12200989. The next prime is 12201041. The reversal of 12201020 is 2010221.

12201020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12200989 and 12201007.

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, 43280 + ... + 43560.

It is an arithmetic number, because the mean of its divisors is an integer number (580356).

Almost surely, 212201020 is an apocalyptic number.

12201020 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 12201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928544).

12201020 is an abundant number, since it is smaller than the sum of its proper divisors (15656068).

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

12201020 is a wasteful number, since it uses less digits than its factorization.

12201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 12201020 is about 3492.9958488381. The cubic root of 12201020 is about 230.2141672434.

Adding to 12201020 its reverse (2010221), we get a palindrome (14211241).

The spelling of 12201020 in words is "twelve million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 167 260 281 334 562 668 835 1124 1405 1670 2171 2810 3340 3653 4342 5620 7306 8684 10855 14612 18265 21710 36530 43420 46927 73060 93854 187708 234635 469270 610051 938540 1220102 2440204 3050255 6100510 12201020