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12122202120021 = 327474093955461
BaseRepresentation
bin1011000001100110101110…
…0011010001111101010101
31120220212112002221000001200
42300121223203101331111
53042102232220320041
641440510205343113
72360541316623630
oct260315343217525
946825462830050
1012122202120021
113953aa7087324
121439444b67a99
1369c170b9b546
142dca09594c17
151604d63b11b6
hexb066b8d1f55

12122202120021 has 24 divisors (see below), whose sum is σ = 20437025666304. Its totient is φ = 6779590241760.

The previous prime is 12122202120013. The next prime is 12122202120023. The reversal of 12122202120021 is 12002120222121.

It is a happy number.

12122202120021 is a `hidden beast` number, since 1 + 212 + 220 + 212 + 0 + 0 + 21 = 666.

It is not a de Polignac number, because 12122202120021 - 23 = 12122202120013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122202119976 and 12122202120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122202120023) 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, 2046974770 + ... + 2046980691.

It is an arithmetic number, because the mean of its divisors is an integer number (851542736096).

Almost surely, 212122202120021 is an apocalyptic number.

It is an amenable number.

12122202120021 is a deficient number, since it is larger than the sum of its proper divisors (8314823546283).

12122202120021 is a wasteful number, since it uses less digits than its factorization.

12122202120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093955521 (or 4093955518 counting only the distinct ones).

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

Adding to 12122202120021 its reverse (12002120222121), we get a palindrome (24124322342142).

The spelling of 12122202120021 in words is "twelve trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 4093955461 12281866383 28657688227 36845599149 85973064681 192415906667 257919194043 577247720001 1346911346669 1731743160003 4040734040007 12122202120021