Search a number
-
+
12220112320 = 265134171647
BaseRepresentation
bin10110110000110000…
…00001110111000000
31011112122022000200121
423120120001313000
5200011322043240
65340331230024
7611553145423
oct133030016700
934478260617
1012220112320
115200a31289
1224505a8314
1311c99413c0
1483cd579ba
154b7c4e04a
hex2d8601dc0

12220112320 has 112 divisors (see below), whose sum is σ = 32102316288. Its totient is φ = 4401930240.

The previous prime is 12220112309. The next prime is 12220112323. The reversal of 12220112320 is 2321102221.

It is a happy number.

It is a super-2 number, since 2×122201123202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12220112294 and 12220112303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220112323) 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, 134737 + ... + 206383.

It is an arithmetic number, because the mean of its divisors is an integer number (286627824).

Almost surely, 212220112320 is an apocalyptic number.

12220112320 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 12220112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16051158144).

12220112320 is an abundant number, since it is smaller than the sum of its proper divisors (19882203968).

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

12220112320 is a wasteful number, since it uses less digits than its factorization.

12220112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71718 (or 71708 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12220112320 its reverse (2321102221), we get a palindrome (14541214541).

The spelling of 12220112320 in words is "twelve billion, two hundred twenty million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 64 65 80 82 104 130 160 164 205 208 260 320 328 410 416 520 533 656 820 832 1040 1066 1312 1640 2080 2132 2624 2665 3280 4160 4264 5330 6560 8528 10660 13120 17056 21320 34112 42640 71647 85280 143294 170560 286588 358235 573176 716470 931411 1146352 1432940 1862822 2292704 2865880 2937527 3725644 4585408 4657055 5731760 5875054 7451288 9314110 11463520 11750108 14687635 14902576 18628220 22927040 23500216 29375270 29805152 37256440 38187851 47000432 58750540 59610304 74512880 76375702 94000864 117501080 149025760 152751404 188001728 190939255 235002160 298051520 305502808 381878510 470004320 611005616 763757020 940008640 1222011232 1527514040 2444022464 3055028080 6110056160 12220112320