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12100222121211 = 327375987983059
BaseRepresentation
bin1011000000010100110101…
…1100001111010011111011
31120211202210021200101001200
42300011031130033103323
53041222223330334321
641422433145545243
72356132533000510
oct260051534172373
946752707611050
1012100222121211
113945747a31954
12143512baa5223
1369a07a2303a3
142db92233d307
1515eb4b8d3d26
hexb014d70f4fb

12100222121211 has 48 divisors (see below), whose sum is σ = 20862543187200. Its totient is φ = 6613510503744.

The previous prime is 12100222121177. The next prime is 12100222121213. The reversal of 12100222121211 is 11212122200121.

12100222121211 is a `hidden beast` number, since 1 + 210 + 0 + 2 + 221 + 21 + 211 = 666.

It is not a de Polignac number, because 12100222121211 - 210 = 12100222120187 is a prime.

It is a super-2 number, since 2×121002221212112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12100222121213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43854001 + ... + 44129058.

It is an arithmetic number, because the mean of its divisors is an integer number (434636316400).

Almost surely, 212100222121211 is an apocalyptic number.

12100222121211 is a deficient number, since it is larger than the sum of its proper divisors (8762321065989).

12100222121211 is a wasteful number, since it uses less digits than its factorization.

12100222121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87983168 (or 87983165 counting only the distinct ones).

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

Adding to 12100222121211 its reverse (11212122200121), we get a palindrome (23312344321332).

The spelling of 12100222121211 in words is "twelve trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 37 59 63 111 177 259 333 413 531 777 1239 2183 2331 3717 6549 15281 19647 45843 137529 87983059 263949177 615881413 791847531 1847644239 3255373183 5191000481 5542932717 9766119549 15573001443 22787612281 29298358647 36337003367 46719004329 68362836843 109011010101 192067017797 205088510529 327033030303 576201053391 1344469124579 1728603160173 4033407373737 12100222121211