Search a number
-
+
12420210404 = 22717238871279
BaseRepresentation
bin10111001000100110…
…10101111011100100
31012001120211001122202
423210103111323210
5200414033213104
65412240114032
7616533021650
oct134423257344
935046731582
1012420210404
1152a39809a8
1224a7605918
13122c231234
1485b763a60
154ca5c751e
hex2e44d5ee4

12420210404 has 96 divisors (see below), whose sum is σ = 27497594880. Its totient is φ = 4782868992.

The previous prime is 12420210379. The next prime is 12420210449. The reversal of 12420210404 is 40401202421.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9710237 + ... + 9711515.

It is an arithmetic number, because the mean of its divisors is an integer number (286433280).

Almost surely, 212420210404 is an apocalyptic number.

12420210404 is a gapful number since it is divisible by the number (14) 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 12420210404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13748797440).

12420210404 is an abundant number, since it is smaller than the sum of its proper divisors (15077384476).

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

12420210404 is a wasteful number, since it uses less digits than its factorization.

12420210404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12420210404 its product of nonzero digits (512), we get a square (12420210916 = 1114462).

Adding to 12420210404 its reverse (40401202421), we get a palindrome (52821412825).

The spelling of 12420210404 in words is "twelve billion, four hundred twenty million, two hundred ten thousand, four hundred four".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 887 1279 1564 1774 2558 2737 3548 5116 5474 6209 8953 10948 12418 15079 17906 20401 21743 24836 29417 30158 35812 40802 43486 58834 60316 81604 86972 105553 117668 142807 152201 205919 211106 285614 304402 346817 411838 422212 500089 571228 608804 693634 823676 1000178 1134473 1387268 2000356 2268946 2427719 3500623 4537892 4855438 7001246 7941311 9710876 14002492 15882622 19286041 26092879 31765244 38572082 52185758 77144164 104371516 135002287 182650153 270004574 365300306 443578943 540009148 730600612 887157886 1774315772 3105052601 6210105202 12420210404