Search a number
-
+
12211420 = 2251367701
BaseRepresentation
bin101110100101…
…010011011100
3211222101220211
4232211103130
511111231140
61113422204
7205536544
oct56452334
924871824
1012211420
116990691
12410a964
1326b72c0
14189c324
1511132ea
hexba54dc

12211420 has 48 divisors (see below), whose sum is σ = 28068768. Its totient is φ = 4435200.

The previous prime is 12211403. The next prime is 12211421. The reversal of 12211420 is 2411221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12211420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17070 + ... + 17770.

It is an arithmetic number, because the mean of its divisors is an integer number (584766).

Almost surely, 212211420 is an apocalyptic number.

12211420 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 12211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034384).

12211420 is an abundant number, since it is smaller than the sum of its proper divisors (15857348).

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

12211420 is a wasteful number, since it uses less digits than its factorization.

12211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12211420 is about 3494.4842251754. The cubic root of 12211420 is about 230.2795592459.

Adding to 12211420 its reverse (2411221), we get a palindrome (14622641).

The spelling of 12211420 in words is "twelve million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 701 871 1340 1402 1742 2804 3484 3505 4355 7010 8710 9113 14020 17420 18226 36452 45565 46967 91130 93934 182260 187868 234835 469670 610571 939340 1221142 2442284 3052855 6105710 12211420