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12116105727 = 311499735781
BaseRepresentation
bin10110100100010110…
…10001100111111111
31011021101120221110120
423102023101213333
5144303210340402
65322134110023
7606151125255
oct132213214777
934241527416
1012116105727
115158253620
1224217ab313
1311b122703b
1482d2025d5
154ada573bc
hex2d22d19ff

12116105727 has 16 divisors (see below), whose sum is σ = 17658768000. Its totient is φ = 7328368800.

The previous prime is 12116105713. The next prime is 12116105737. The reversal of 12116105727 is 72750161121.

It is not a de Polignac number, because 12116105727 - 24 = 12116105711 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116105707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351424 + ... + 384357.

It is an arithmetic number, because the mean of its divisors is an integer number (1103673000).

Almost surely, 212116105727 is an apocalyptic number.

12116105727 is a deficient number, since it is larger than the sum of its proper divisors (5542662273).

12116105727 is a wasteful number, since it uses less digits than its factorization.

12116105727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736294.

The product of its (nonzero) digits is 5880, while the sum is 33.

Adding to 12116105727 its reverse (72750161121), we get a palindrome (84866266848).

The spelling of 12116105727 in words is "twelve billion, one hundred sixteen million, one hundred five thousand, seven hundred twenty-seven".

Divisors: 1 3 11 33 499 1497 5489 16467 735781 2207343 8093591 24280773 367154719 1101464157 4038701909 12116105727