Search a number
-
+
12422241120 = 2535231125203
BaseRepresentation
bin10111001000110110…
…00101101101100000
31012001201122020021110
423210123011231200
5200420043203440
65412351423320
7616556210262
oct134433055540
935051566243
1012422241120
1152a5038683
1224a8224b40
13122c792643
1485bb31b32
154ca879080
hex2e46c5b60

12422241120 has 96 divisors (see below), whose sum is σ = 40831402752. Its totient is φ = 3168568832.

The previous prime is 12422241119. The next prime is 12422241121. The reversal of 12422241120 is 2114222421.

It is an interprime number because it is at equal distance from previous prime (12422241119) and next prime (12422241121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422241121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551562 + ... + 573641.

It is an arithmetic number, because the mean of its divisors is an integer number (425327112).

Almost surely, 212422241120 is an apocalyptic number.

12422241120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12422241120 is an abundant number, since it is smaller than the sum of its proper divisors (28409161632).

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

12422241120 is a wasteful number, since it uses less digits than its factorization.

12422241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125244 (or 1125236 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12422241120 its reverse (2114222421), we get a palindrome (14536463541).

The spelling of 12422241120 in words is "twelve billion, four hundred twenty-two million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 1125203 2250406 3375609 4500812 5626015 6751218 9001624 11252030 13502436 16878045 18003248 22504060 25879669 27004872 33756090 36006496 45008120 51759338 54009744 67512180 77639007 90016240 103518676 108019488 129398345 135024360 155278014 180032480 207037352 258796690 270048720 310556028 388195035 414074704 517593380 540097440 621112056 776390070 828149408 1035186760 1242224112 1552780140 2070373520 2484448224 3105560280 4140747040 6211120560 12422241120