Search a number
-
+
12220001212221 = 32113137383280979
BaseRepresentation
bin1011000111010011000011…
…0101001101011100111101
31121021012221220011122101200
42301310300311031130331
53100203030302242341
641553442511330113
72400603010322415
oct261646065153475
947235856148350
1012220001212221
113991523122860
121454399820939
136a845871c37a
143036461bd645
15162d0c29edb6
hexb1d30d4d73d

12220001212221 has 96 divisors (see below), whose sum is σ = 20467500318720. Its totient is φ = 6955217020800.

The previous prime is 12220001212207. The next prime is 12220001212253. The reversal of 12220001212221 is 12221210002221.

It is a happy number.

12220001212221 is a `hidden beast` number, since 12 + 220 + 0 + 0 + 1 + 212 + 221 = 666.

It is not a de Polignac number, because 12220001212221 - 26 = 12220001212157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12220001212194 and 12220001212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220001214221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43350310 + ... + 43631288.

It is an arithmetic number, because the mean of its divisors is an integer number (213203128320).

Almost surely, 212220001212221 is an apocalyptic number.

12220001212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220001212221 is a deficient number, since it is larger than the sum of its proper divisors (8247499106499).

12220001212221 is a wasteful number, since it uses less digits than its factorization.

12220001212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281447 (or 281444 counting only the distinct ones).

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

Adding to 12220001212221 its reverse (12221210002221), we get a palindrome (24441211214442).

The spelling of 12220001212221 in words is "twelve trillion, two hundred twenty billion, one million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 31 33 37 93 99 111 279 333 341 383 407 1023 1147 1149 1221 3069 3441 3447 3663 4213 10323 11873 12617 12639 14171 35619 37851 37917 42513 106857 113553 127539 130603 155881 280979 391809 439301 467643 842937 1175427 1317903 1402929 2528811 3090769 3953709 4832311 8710349 9272307 10396223 14496933 26131047 27816921 31188669 43490799 78393141 93566007 95813839 107614957 114358453 287441517 322282913 322844871 343075359 862324551 966848739 968534613 1029226077 1183764527 2900546217 3336063667 3545112043 3551293581 3981753409 10008191001 10635336129 10653880743 11945260227 30024573003 31906008387 35835780681 36696700337 43799287499 110090101011 123434355679 131397862497 330270303033 370303067037 394193587491 1110909201111 1357777912469 4073333737407 12220001212221