Search a number
-
+
12020223022020 = 2233593497238079
BaseRepresentation
bin1010111011101010110100…
…0111111001001111000100
31120120010022000021001202000
42232322231013321033010
53033414404043201040
641322003023345300
72350301221610253
oct256725507711704
946503260231660
1012020223022020
113914825590644
121421724452230
1369266b3525c5
142d7ad375a79a
1515ca18542130
hexaeead1f93c4

12020223022020 has 96 divisors (see below), whose sum is σ = 37396806451200. Its totient is φ = 3205345059072.

The previous prime is 12020223021977. The next prime is 12020223022021. The reversal of 12020223022020 is 2022032202021.

12020223022020 is a `hidden beast` number, since 1 + 202 + 0 + 223 + 0 + 220 + 20 = 666.

It is a super-2 number, since 2×120202230220202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12020223021984 and 12020223022002.

It is not an unprimeable number, because it can be changed into a prime (12020223022021) 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, 50369341 + ... + 50607419.

It is an arithmetic number, because the mean of its divisors is an integer number (389550067200).

Almost surely, 212020223022020 is an apocalyptic number.

12020223022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020223022020 is an abundant number, since it is smaller than the sum of its proper divisors (25376583429180).

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

12020223022020 is a wasteful number, since it uses less digits than its factorization.

12020223022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331594 (or 331586 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12020223022020 its reverse (2022032202021), we get a palindrome (14042255224041).

The spelling of 12020223022020 in words is "twelve trillion, twenty billion, two hundred twenty-three million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 93497 186994 238079 280491 373988 467485 476158 560982 714237 841473 934970 952316 1121964 1190395 1402455 1428474 1682946 1869940 2142711 2380790 2524419 2804910 2856948 3365892 3571185 4207365 4285422 4761580 5048838 5609820 6428133 7142370 8414730 8570844 10097676 10713555 12622095 12856266 14284740 16829460 21427110 25244190 25712532 32140665 42854220 50488380 64281330 128562660 22259672263 44519344526 66779016789 89038689052 111298361315 133558033578 200337050367 222596722630 267116067156 333895083945 400674100734 445193445260 601011151101 667790167890 801348201468 1001685251835 1202022302202 1335580335780 2003370503670 2404044604404 3005055755505 4006741007340 6010111511010 12020223022020