Search a number
-
+
12322212240 = 24351314092803
BaseRepresentation
bin10110111100111011…
…00000100110010000
31011210202102020110010
423132131200212100
5200213441242430
65354415434520
7614233035012
oct133635404620
934722366403
1012322212240
115253627488
12247a825a40
131214b3b960
1484c7341b2
154c1bbacb0
hex2de760990

12322212240 has 160 divisors (see below), whose sum is σ = 41181114240. Its totient is φ = 3029925888.

The previous prime is 12322212233. The next prime is 12322212241. The reversal of 12322212240 is 4221222321.

It is not an unprimeable number, because it can be changed into a prime (12322212241) 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, 4394679 + ... + 4397481.

It is an arithmetic number, because the mean of its divisors is an integer number (257381964).

Almost surely, 212322212240 is an apocalyptic number.

12322212240 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 12322212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20590557120).

12322212240 is an abundant number, since it is smaller than the sum of its proper divisors (28858902000).

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

12322212240 is a wasteful number, since it uses less digits than its factorization.

12322212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12322212240 its reverse (4221222321), we get a palindrome (16543434561).

The spelling of 12322212240 in words is "twelve billion, three hundred twenty-two million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1409 1560 2803 2818 3120 4227 5606 5636 7045 8409 8454 11212 11272 14015 14090 16818 16908 18317 21135 22424 22544 28030 28180 33636 33816 36439 36634 42045 42270 44848 54951 56060 56360 67272 67632 72878 73268 84090 84540 91585 109317 109902 112120 112720 134544 145756 146536 168180 169080 182195 183170 218634 219804 224240 274755 291512 293072 336360 338160 364390 366340 437268 439608 546585 549510 583024 672720 728780 732680 874536 879216 1093170 1099020 1457560 1465360 1749072 2186340 2198040 2915120 3949427 4372680 4396080 7898854 8745360 11848281 15797708 19747135 23696562 31595416 39494270 47393124 51342551 59241405 63190832 78988540 94786248 102685102 118482810 154027653 157977080 189572496 205370204 236965620 256712755 308055306 315954160 410740408 473931240 513425510 616110612 770138265 821480816 947862480 1026851020 1232221224 1540276530 2053702040 2464442448 3080553060 4107404080 6161106120 12322212240