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12123252645 = 357115459549
BaseRepresentation
bin10110100101001101…
…00010011110100101
31011021220001001012020
423102212202132211
5144312023041040
65322551213353
7606265642620
oct132246423645
934256031166
1012123252645
115161295169
122424077259
1311b285a09a
14830142db7
154ae4b9cd0
hex2d29a27a5

12123252645 has 16 divisors (see below), whose sum is σ = 22168233600. Its totient is φ = 5542058304.

The previous prime is 12123252641. The next prime is 12123252719. The reversal of 12123252645 is 54625232121.

It is a happy number.

12123252645 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 12123252645 - 22 = 12123252641 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123252641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57729670 + ... + 57729879.

It is an arithmetic number, because the mean of its divisors is an integer number (1385514600).

Almost surely, 212123252645 is an apocalyptic number.

12123252645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12123252645 is a deficient number, since it is larger than the sum of its proper divisors (10044980955).

12123252645 is a wasteful number, since it uses less digits than its factorization.

12123252645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115459564.

The product of its digits is 28800, while the sum is 33.

Adding to 12123252645 its reverse (54625232121), we get a palindrome (66748484766).

The spelling of 12123252645 in words is "twelve billion, one hundred twenty-three million, two hundred fifty-two thousand, six hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 115459549 346378647 577297745 808216843 1731893235 2424650529 4041084215 12123252645