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22122012020121 = 3313217285184051
BaseRepresentation
bin1010000011110101011101…
…01010110000110110011001
32220022211210001110011212000
411001322232222300312121
510344421340034120441
6115014413444111213
74442156036416146
oct501725652606631
986284701404760
1022122012020121
11705999007a492
122593489095509
13c46134827a00
145669d535b3cd
1528569e7a32b6
hex141eaeab0d99

22122012020121 has 48 divisors (see below), whose sum is σ = 37575850691520. Its totient is φ = 12812748998400.

The previous prime is 22122012020099. The next prime is 22122012020167. The reversal of 22122012020121 is 12102021022122.

It is a happy number.

22122012020121 is a `hidden beast` number, since 221 + 2 + 201 + 20 + 201 + 21 = 666.

It is not a de Polignac number, because 22122012020121 - 26 = 22122012020057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22122012020094 and 22122012020103.

It is not an unprimeable number, because it can be changed into a prime (22122012020321) 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, 142514455 + ... + 142669596.

It is an arithmetic number, because the mean of its divisors is an integer number (782830222740).

Almost surely, 222122012020121 is an apocalyptic number.

It is an amenable number.

22122012020121 is a deficient number, since it is larger than the sum of its proper divisors (15453838671399).

22122012020121 is a wasteful number, since it uses less digits than its factorization.

22122012020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285184103 (or 285184084 counting only the distinct ones).

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

Adding to 22122012020121 its reverse (12102021022122), we get a palindrome (34224033042243).

The spelling of 22122012020121 in words is "twenty-two trillion, one hundred twenty-two billion, twelve million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 169 221 351 459 507 663 1521 1989 2873 4563 5967 8619 25857 77571 285184051 855552153 2566656459 3707392663 4848128867 7699969377 11122177989 14544386601 33366533967 43633159803 48196104619 63025675271 100099601901 130899479409 144588313857 189077025813 433764941571 567231077439 819333778523 1301294824713 1701693232317 2458001335569 7374004006707 22122012020121