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12210024342321 = 3213293598592497
BaseRepresentation
bin1011000110101101111000…
…1010011110001100110001
31121020021012120221010210200
42301223132022132030301
53100022112212423241
641545112512345413
72400100533324231
oct261533612361461
947207176833720
1012210024342321
113988273476833
121452474545269
136a752876cc60
14302d7b15bcc1
151629264604b6
hexb1ade29e331

12210024342321 has 24 divisors (see below), whose sum is σ = 19648315039080. Its totient is φ = 7254762471936.

The previous prime is 12210024342311. The next prime is 12210024342353. The reversal of 12210024342321 is 12324342001221.

12210024342321 is a `hidden beast` number, since 1 + 2 + 210 + 0 + 2 + 4 + 3 + 423 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 951912435600 + 11258111906721 = 975660^2 + 3355311^2 .

It is not a de Polignac number, because 12210024342321 - 217 = 12210024211249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12210024342311) 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, 1799292856 + ... + 1799299641.

It is an arithmetic number, because the mean of its divisors is an integer number (818679793295).

Almost surely, 212210024342321 is an apocalyptic number.

It is an amenable number.

12210024342321 is a deficient number, since it is larger than the sum of its proper divisors (7438290696759).

12210024342321 is a wasteful number, since it uses less digits than its factorization.

12210024342321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598592545 (or 3598592542 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12210024342321 its reverse (12324342001221), we get a palindrome (24534366343542).

The spelling of 12210024342321 in words is "twelve trillion, two hundred ten billion, twenty-four million, three hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 3598592497 10795777491 32387332473 46781702461 104359182413 140345107383 313077547239 421035322149 939232641717 1356669371369 4070008114107 12210024342321