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12121200220221 = 3223143340862891
BaseRepresentation
bin1011000001100010111111…
…0101010101100000111101
31120220202221021200012220200
42300120233311111200331
53042043204224021341
641440222535234113
72360504432621151
oct260305765254075
946822837605820
1012121200220221
113953632586164
121439205518939
1369c041447721
142dc9524b1061
15160478456db6
hexb062fd5583d

12121200220221 has 24 divisors (see below), whose sum is σ = 18282384783936. Its totient is φ = 7724066919360.

The previous prime is 12121200220193. The next prime is 12121200220229. The reversal of 12121200220221 is 12202200212121.

It is a happy number.

12121200220221 is a `hidden beast` number, since 1 + 2 + 1 + 21 + 200 + 220 + 221 = 666.

It is not a de Polignac number, because 12121200220221 - 211 = 12121200218173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121200220194 and 12121200220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121200220229) 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 23 ways as a sum of consecutive naturals, for example, 20134815 + ... + 20728076.

It is an arithmetic number, because the mean of its divisors is an integer number (761766032664).

Almost surely, 212121200220221 is an apocalyptic number.

It is an amenable number.

12121200220221 is a deficient number, since it is larger than the sum of its proper divisors (6161184563715).

12121200220221 is a wasteful number, since it uses less digits than its factorization.

12121200220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40864353 (or 40864350 counting only the distinct ones).

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

Adding to 12121200220221 its reverse (12202200212121), we get a palindrome (24323400432342).

The spelling of 12121200220221 in words is "twelve trillion, one hundred twenty-one billion, two hundred million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 23 69 207 1433 4299 12897 32959 98877 296631 40862891 122588673 367766019 939846493 2819539479 8458618437 58556522803 175669568409 527008705227 1346800024469 4040400073407 12121200220221