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12012221133333 = 325371261353389
BaseRepresentation
bin1010111011001101000000…
…1011000111001000010101
31120112100122100022000001100
42232303100023013020111
53033302012102231313
641314201015220313
72346566015642601
oct256632013071025
946470570260040
1012012221133333
1139113997431a3
121420070677699
136919945ca925
142d7574b20501
1515c6eacc2173
hexaecd02c7215

12012221133333 has 24 divisors (see below), whose sum is σ = 17678661282360. Its totient is φ = 7856917810560.

The previous prime is 12012221133323. The next prime is 12012221133343. The reversal of 12012221133333 is 33333112221021.

It is an interprime number because it is at equal distance from previous prime (12012221133323) and next prime (12012221133343).

It can be written as a sum of positive squares in 4 ways, for example, as 3091766588964 + 8920454544369 = 1758342^2 + 2986713^2 .

It is not a de Polignac number, because 12012221133333 - 25 = 12012221133301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12012221133297 and 12012221133306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012221133323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33814803 + ... + 34168191.

It is an arithmetic number, because the mean of its divisors is an integer number (736610886765).

Almost surely, 212012221133333 is an apocalyptic number.

It is an amenable number.

12012221133333 is a deficient number, since it is larger than the sum of its proper divisors (5666440149027).

12012221133333 is a wasteful number, since it uses less digits than its factorization.

12012221133333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424709 (or 424706 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12012221133333 its reverse (33333112221021), we get a palindrome (45345333354354).

The spelling of 12012221133333 in words is "twelve trillion, twelve billion, two hundred twenty-one million, one hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 53 159 477 71261 213783 353389 641349 1060167 3180501 3776833 11330499 18729617 33991497 56188851 168566553 25182853529 75548560587 226645681761 1334691237037 4004073711111 12012221133333