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12022211112201 = 32173299375557
BaseRepresentation
bin1010111011110010001110…
…0111110110110100001001
31120120022102120012111202200
42232330203213312310021
53033432442021042301
641322532203150413
72350401412236453
oct256744347666411
946508376174680
1012022211112201
113915655833184
121421b9a215409
136928c71b9a24
142d7c417d52d3
1515cad2d50c86
hexaef239f6d09

12022211112201 has 48 divisors (see below), whose sum is σ = 19086760976400. Its totient is φ = 7283231918592.

The previous prime is 12022211112179. The next prime is 12022211112211. The reversal of 12022211112201 is 10221111222021.

12022211112201 is a `hidden beast` number, since 120 + 22 + 211 + 112 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 582771926025 + 11439439186176 = 763395^2 + 3382224^2 .

It is not a de Polignac number, because 12022211112201 - 25 = 12022211112169 is a prime.

It is a super-2 number, since 2×120222111122012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12022211112211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3405486 + ... + 5970071.

It is an arithmetic number, because the mean of its divisors is an integer number (397640853675).

Almost surely, 212022211112201 is an apocalyptic number.

It is an amenable number.

12022211112201 is a deficient number, since it is larger than the sum of its proper divisors (7064549864199).

12022211112201 is an equidigital number, since it uses as much as digits as its factorization.

12022211112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9375643 (or 9375606 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12022211112201 its reverse (10221111222021), we get a palindrome (22243322334222).

The spelling of 12022211112201 in words is "twelve trillion, twenty-two billion, two hundred eleven million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 9 17 29 51 87 153 261 289 493 867 1479 2601 4437 4913 8381 14739 25143 44217 75429 142477 427431 1282293 9375557 28126671 84380013 159384469 271891153 478153407 815673459 1434460221 2447020377 2709535973 4622149601 8128607919 13866448803 24385823757 41599346409 46062111541 78576543217 138186334623 235729629651 414559003869 707188888953 1335801234689 4007403704067 12022211112201