Search a number
-
+
12205004214 = 23136713717047
BaseRepresentation
bin10110101110111100…
…11001010110110110
31011111120212110021010
423113132121112312
5144443440113324
65335031333050
7611310552444
oct132736312666
934446773233
1012205004214
1151a3452347
122447521186
1311c67817b0
1483ad43b94
154b6767829
hex2d77995b6

12205004214 has 64 divisors (see below), whose sum is σ = 26876376576. Its totient is φ = 3672117504.

The previous prime is 12205004213. The next prime is 12205004219. The reversal of 12205004214 is 41240050221.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205004213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707439 + ... + 724485.

It is an arithmetic number, because the mean of its divisors is an integer number (419943384).

Almost surely, 212205004214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12205004214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13438188288).

12205004214 is an abundant number, since it is smaller than the sum of its proper divisors (14671372362).

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

12205004214 is a wasteful number, since it uses less digits than its factorization.

12205004214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17269.

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 12205004214 its reverse (41240050221), we get a palindrome (53445054435).

The spelling of 12205004214 in words is "twelve billion, two hundred five million, four thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 67 78 134 137 201 274 402 411 822 871 1742 1781 2613 3562 5226 5343 9179 10686 17047 18358 27537 34094 51141 55074 102282 119327 221611 238654 357981 443222 664833 715962 1142149 1329666 2284298 2335439 3426447 4670878 6852894 7006317 14012634 14847937 29695874 30360707 44543811 60721414 89087622 91082121 156474413 182164242 312948826 469423239 938846478 2034167369 4068334738 6102502107 12205004214