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12221120012193 = 3219225673166949
BaseRepresentation
bin1011000111010111001110…
…0001000101111110100001
31121021022211212101120102200
42301311303201011332201
53100212323210342233
641554145515203413
72400642514056051
oct261656341057641
947238755346380
1012221120012193
113991a47708834
121454650446569
136a85a64531a1
14303710a13561
15162d755eb313
hexb1d73845fa1

12221120012193 has 24 divisors (see below), whose sum is σ = 18582649176000. Its totient is φ = 7718257645344.

The previous prime is 12221120012183. The next prime is 12221120012251. The reversal of 12221120012193 is 39121002112221.

12221120012193 is a `hidden beast` number, since 122 + 211 + 200 + 121 + 9 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12221120012193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12221120012183) 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, 2275483 + ... + 5442431.

It is an arithmetic number, because the mean of its divisors is an integer number (774277049000).

Almost surely, 212221120012193 is an apocalyptic number.

It is an amenable number.

12221120012193 is a deficient number, since it is larger than the sum of its proper divisors (6361529163807).

12221120012193 is a wasteful number, since it uses less digits than its factorization.

12221120012193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189541 (or 3189538 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12221120012193 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty million, twelve thousand, one hundred ninety-three".

Divisors: 1 3 9 19 57 171 22567 67701 203103 428773 1286319 3166949 3858957 9500847 28502541 60172031 180516093 541548279 71468538083 214405614249 643216842747 1357902223577 4073706670731 12221120012193