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12116112151 = 1113107791851
BaseRepresentation
bin10110100100010110…
…10011001100010111
31011021101121021021111
423102023103030113
5144303211042101
65322134155451
7606151153063
oct132213231427
934241537244
1012116112151
115158258430
1224217b2b87
1311b1229c40
1482d204aa3
154ada59251
hex2d22d3317

12116112151 has 16 divisors (see below), whose sum is σ = 14367362688. Its totient is φ = 10072332000.

The previous prime is 12116112139. The next prime is 12116112163. The reversal of 12116112151 is 15121161121.

12116112151 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12116112139) and next prime (12116112163).

It is a cyclic number.

It is not a de Polignac number, because 12116112151 - 215 = 12116079383 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116112191) 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, 380625 + ... + 411226.

It is an arithmetic number, because the mean of its divisors is an integer number (897960168).

Almost surely, 212116112151 is an apocalyptic number.

12116112151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12116112151 is a deficient number, since it is larger than the sum of its proper divisors (2251250537).

12116112151 is a wasteful number, since it uses less digits than its factorization.

12116112151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791982.

The product of its digits is 120, while the sum is 22.

Adding to 12116112151 its reverse (15121161121), we get a palindrome (27237273272).

The spelling of 12116112151 in words is "twelve billion, one hundred sixteen million, one hundred twelve thousand, one hundred fifty-one".

Divisors: 1 11 13 107 143 1177 1391 15301 791851 8710361 10294063 84728057 113234693 932008627 1101464741 12116112151