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12435337121 = 89262153309
BaseRepresentation
bin10111001010011010…
…00010111110100001
31012002122021120121112
423211031002332201
5200431421241441
65413540233105
7620105423114
oct134515027641
935078246545
1012435337121
115301472919
1224b069b795
1312323c945c
1485d78057b
154cbab44eb
hex2e5342fa1

12435337121 has 8 divisors (see below), whose sum is σ = 12580093800. Its totient is φ = 12290692480.

The previous prime is 12435337099. The next prime is 12435337139. The reversal of 12435337121 is 12173353421.

12435337121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1079451025 + 11355886096 = 32855^2 + 106564^2 .

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-12435337121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12435237121) 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, 206615 + ... + 259923.

It is an arithmetic number, because the mean of its divisors is an integer number (1572511725).

Almost surely, 212435337121 is an apocalyptic number.

It is an amenable number.

12435337121 is a deficient number, since it is larger than the sum of its proper divisors (144756679).

12435337121 is an equidigital number, since it uses as much as digits as its factorization.

12435337121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56019.

The product of its digits is 15120, while the sum is 32.

The spelling of 12435337121 in words is "twelve billion, four hundred thirty-five million, three hundred thirty-seven thousand, one hundred twenty-one".

Divisors: 1 89 2621 53309 233269 4744501 139722889 12435337121