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12210 = 2351137
BaseRepresentation
bin10111110110010
3121202020
42332302
5342320
6132310
750412
oct27662
917666
1012210
1191a0
127096
135733
144642
153940
hex2fb2

12210 has 32 divisors (see below), whose sum is σ = 32832. Its totient is φ = 2880.

The previous prime is 12203. The next prime is 12211. The reversal of 12210 is 1221.

Adding to 12210 its reverse (1221), we get a palindrome (13431).

It can be divided in two parts, 12 and 210, that added together give a palindrome (222).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12211) by changing a digit.

12210 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (1026).

212210 is an apocalyptic number.

12210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 110×111.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416).

12210 is an abundant number, since it is smaller than the sum of its proper divisors (20622).

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

12210 is a wasteful number, since it uses less digits than its factorization.

12210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12210 is about 110.4988687725. The cubic root of 12210 is about 23.0270632912.

The spelling of 12210 in words is "twelve thousand, two hundred ten", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 12210