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12201660 = 22325531279
BaseRepresentation
bin101110100010…
…111010111100
3211221220112100
4232202322330
511110423120
61113305100
7205466232
oct56427274
924856470
1012201660
116984319
124105190
1326b2a23
141898952
151110490
hexba2ebc

12201660 has 72 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3189888.

The previous prime is 12201659. The next prime is 12201671. The reversal of 12201660 is 6610221.

It is a happy number.

12201660 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 1 + 660 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8901 + ... + 10179.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 212201660 is an apocalyptic number.

12201660 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 12201660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

12201660 is an abundant number, since it is smaller than the sum of its proper divisors (25537860).

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

12201660 is a wasteful number, since it uses less digits than its factorization.

12201660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12201660 is about 3493.0874595406. The cubic root of 12201660 is about 230.2181924394.

Adding to 12201660 its reverse (6610221), we get a palindrome (18811881).

The spelling of 12201660 in words is "twelve million, two hundred one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1279 1590 1908 2385 2558 3180 3837 4770 5116 6395 7674 9540 11511 12790 15348 19185 23022 25580 38370 46044 57555 67787 76740 115110 135574 203361 230220 271148 338935 406722 610083 677870 813444 1016805 1220166 1355740 2033610 2440332 3050415 4067220 6100830 12201660