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12123644632121 = 111832960131459
BaseRepresentation
bin1011000001101100000110…
…0010000001110000111001
31120221000020122021012122202
42300123001202001300321
53042113211011211441
641441305255355545
72360622134026361
oct260330142016071
946830218235582
1012123644632121
113954677371a90
121439788082bb5
1369c3409b30b9
142dcb04db19a1
1516056cd5219b
hexb06c1881c39

12123644632121 has 8 divisors (see below), whose sum is σ = 13226515941600. Its totient is φ = 11020893622240.

The previous prime is 12123644632111. The next prime is 12123644632133.

12123644632121 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12123644632121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12123644632111) 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 7 ways as a sum of consecutive naturals, for example, 29864111 + ... + 30267348.

It is an arithmetic number, because the mean of its divisors is an integer number (1653314492700).

Almost surely, 212123644632121 is an apocalyptic number.

12123644632121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12123644632121 is a deficient number, since it is larger than the sum of its proper divisors (1102871309479).

12123644632121 is a wasteful number, since it uses less digits than its factorization.

12123644632121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60149799.

The product of its digits is 82944, while the sum is 38.

It can be divided in two parts, 1212364 and 4632121, that added together give a palindrome (5844485).

The spelling of 12123644632121 in words is "twelve trillion, one hundred twenty-three billion, six hundred forty-four million, six hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 18329 201619 60131459 661446049 1102149512011 12123644632121