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12001116735 = 34529632387
BaseRepresentation
bin10110010110101001…
…01000001000111111
31010222101012220020000
423023110220020333
5144034241213420
65302505325343
7603253544346
oct131324501077
933871186200
1012001116735
1150a93546a3
1223ab196853
131193465c0a
1481bc2cb5d
154a38e1690
hex2cb52823f

12001116735 has 20 divisors (see below), whose sum is σ = 21513113688. Its totient is φ = 6400595376.

The previous prime is 12001116689. The next prime is 12001116739. The reversal of 12001116735 is 53761110021.

12001116735 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 12001116735 - 26 = 12001116671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12001116699 and 12001116708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001116739) 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 19 ways as a sum of consecutive naturals, for example, 14815789 + ... + 14816598.

Almost surely, 212001116735 is an apocalyptic number.

12001116735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12001116735 is a deficient number, since it is larger than the sum of its proper divisors (9511996953).

12001116735 is an equidigital number, since it uses as much as digits as its factorization.

12001116735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29632404 (or 29632395 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 12001116735 its reverse (53761110021), we get a palindrome (65762226756).

The spelling of 12001116735 in words is "twelve billion, one million, one hundred sixteen thousand, seven hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 29632387 88897161 148161935 266691483 444485805 800074449 1333457415 2400223347 4000372245 12001116735