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12202212120021 = 3371131718515047
BaseRepresentation
bin1011000110010000110010…
…0001001101010111010101
31121012112001010212010111000
42301210030201031113111
53044410112300320041
641541341401333513
72366403122455020
oct261441441152725
947175033763430
1012202212120021
113984a246a3570
121450a54197299
136a68820c4c01
143028397b41b7
1516261a6a7bb6
hexb190c84d5d5

12202212120021 has 64 divisors (see below), whose sum is σ = 22609095413760. Its totient is φ = 6318814898880.

The previous prime is 12202212120011. The next prime is 12202212120031. The reversal of 12202212120021 is 12002121220221.

It is a happy number.

12202212120021 is a `hidden beast` number, since 1 + 220 + 221 + 2 + 1 + 200 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (12202212120011) and next prime (12202212120031).

It is not a de Polignac number, because 12202212120021 - 26 = 12202212119957 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12202212119976 and 12202212120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202212120001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8598481 + ... + 9916566.

It is an arithmetic number, because the mean of its divisors is an integer number (353267115840).

Almost surely, 212202212120021 is an apocalyptic number.

12202212120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202212120021 is a deficient number, since it is larger than the sum of its proper divisors (10406883293739).

12202212120021 is a wasteful number, since it uses less digits than its factorization.

12202212120021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18515391 (or 18515385 counting only the distinct ones).

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

Adding to 12202212120021 its reverse (12002121220221), we get a palindrome (24204333340242).

The spelling of 12202212120021 in words is "twelve trillion, two hundred two billion, two hundred twelve million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 317 693 951 2079 2219 2853 3487 6657 8559 10461 19971 24409 31383 59913 73227 94149 219681 659043 18515047 55545141 129605329 166635423 203665517 388815987 499906269 610996551 1166447961 1425658619 1832989653 3499343883 4276975857 5498968959 5869269899 12830927571 17607809697 38492782713 41084889293 52823429091 64561968889 123254667879 158470287273 193685906667 369764003637 451933782223 581057720001 1109292010911 1355801346669 1743173160003 4067404040007 12202212120021