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12225889405 = 5171512933251
BaseRepresentation
bin10110110001011100…
…00100010001111101
31011120001011112100201
423120232010101331
5200014311430110
65341055123501
7611653226302
oct133056042175
934501145321
1012225889405
115204217734
122452513591
1311cabb4ab2
1483da1d0a9
154b84e0b3a
hex2d8b8447d

12225889405 has 32 divisors (see below), whose sum is σ = 15695140608. Its totient is φ = 9110400000.

The previous prime is 12225889381. The next prime is 12225889433. The reversal of 12225889405 is 50498852221.

12225889405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12225889405 - 25 = 12225889373 is a prime.

It is a super-3 number, since 3×122258894053 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3759030 + ... + 3762280.

It is an arithmetic number, because the mean of its divisors is an integer number (490473144).

Almost surely, 212225889405 is an apocalyptic number.

It is an amenable number.

12225889405 is a deficient number, since it is larger than the sum of its proper divisors (3469251203).

12225889405 is a wasteful number, since it uses less digits than its factorization.

12225889405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717.

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 12225889405 in words is "twelve billion, two hundred twenty-five million, eight hundred eighty-nine thousand, four hundred five".

Divisors: 1 5 17 85 151 293 755 1465 2567 3251 4981 12835 16255 24905 44243 55267 221215 276335 490901 752131 952543 2454505 3760655 4762715 8345317 16193231 41726585 80966155 143833993 719169965 2445177881 12225889405