Search a number
-
+
12022101221120 = 28558763159833
BaseRepresentation
bin1010111011110001110100…
…0100101001111100000000
31120120022010220102110112122
42232330131010221330000
53033432230403033440
641322513235543412
72350365606210344
oct256743504517400
946508126373478
1012022101221120
1139155a97a6401
121421b6945ab68
136928aa4c2113
142d7c30d8b624
1515cac83957b5
hexaef1d129f00

12022101221120 has 72 divisors (see below), whose sum is σ = 28797359549616. Its totient is φ = 4808728567808.

The previous prime is 12022101221113. The next prime is 12022101221149. The reversal of 12022101221120 is 2112210122021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75136724 + ... + 75296556.

It is an arithmetic number, because the mean of its divisors is an integer number (399963327078).

Almost surely, 212022101221120 is an apocalyptic number.

12022101221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022101221120 is an abundant number, since it is smaller than the sum of its proper divisors (16775258328496).

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

12022101221120 is an equidigital number, since it uses as much as digits as its factorization.

12022101221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218617 (or 218603 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12022101221120 its reverse (2112210122021), we get a palindrome (14134311343141).

The spelling of 12022101221120 in words is "twelve trillion, twenty-two billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 58763 117526 159833 235052 293815 319666 470104 587630 639332 799165 940208 1175260 1278664 1598330 1880416 2350520 2557328 3196660 3760832 4701040 5114656 6393320 7521664 9402080 10229312 12786640 15043328 18804160 20458624 25573280 37608320 40917248 51146560 75216640 102293120 204586240 9392266579 18784533158 37569066316 46961332895 75138132632 93922665790 150276265264 187845331580 300552530528 375690663160 601105061056 751381326320 1202210122112 1502762652640 2404420244224 3005525305280 6011050610560 12022101221120