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12020221012122 = 2325212565749957
BaseRepresentation
bin1010111011101010110100…
…0000001110100010011010
31120120010021212110221200100
42232322231000032202122
53033414403034341442
641322002512320230
72350301165536431
oct256725500164232
946503255427610
1012020221012122
113914824438574
121421723843076
1369266aaca80b
142d7ad3396118
1515ca1829684c
hexaeead00e89a

12020221012122 has 48 divisors (see below), whose sum is σ = 26095339686312. Its totient is φ = 3998813944320.

The previous prime is 12020221012103. The next prime is 12020221012123. The reversal of 12020221012122 is 22121012202021.

It is a happy number.

12020221012122 is a `hidden beast` number, since 120 + 202 + 210 + 12 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6656601241521 + 5363619770601 = 2580039^2 + 2315949^2 .

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 = 12020221012095 and 12020221012104.

It is not an unprimeable number, because it can be changed into a prime (12020221012123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240586368 + ... + 240636324.

Almost surely, 212020221012122 is an apocalyptic number.

12020221012122 is an abundant number, since it is smaller than the sum of its proper divisors (14075118674190).

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

12020221012122 is a wasteful number, since it uses less digits than its factorization.

12020221012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76143 (or 76140 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12020221012122 its reverse (22121012202021), we get a palindrome (34141233214143).

It can be divided in two parts, 1202022 and 1012122, that added together give a square (2214144 = 14882).

The spelling of 12020221012122 in words is "twelve trillion, twenty billion, two hundred twenty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 521 1042 1563 3126 4689 9378 25657 49957 51314 76971 99914 149871 153942 230913 299742 449613 461826 899226 13367297 26027597 26734594 40101891 52055194 78082791 80203782 120305673 156165582 234248373 240611346 468496746 1281746749 2563493498 3845240247 7690480494 11535720741 23071441482 667790056229 1335580112458 2003370168687 4006740337374 6010110506061 12020221012122