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12111312 = 243252319
BaseRepresentation
bin101110001100…
…110111010000
3211210022121010
4232030313100
511100030222
61111330520
7204641643
oct56146720
924708533
1012111312
116922454
124080a40
132680875
141873a5a
1510e380c
hexb8cdd0

12111312 has 20 divisors (see below), whose sum is σ = 31287680. Its totient is φ = 4037088.

The previous prime is 12111311. The next prime is 12111313. The reversal of 12111312 is 21311121.

12111312 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 (12111311) and next prime (12111313).

It is a super-2 number, since 2×121113122 = 293367756722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126112 + ... + 126207.

It is an arithmetic number, because the mean of its divisors is an integer number (1564384).

Almost surely, 212111312 is an apocalyptic number.

12111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12111312 is an abundant number, since it is smaller than the sum of its proper divisors (19176368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12111312 is a wasteful number, since it uses less digits than its factorization.

12111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252330 (or 252324 counting only the distinct ones).

The product of its digits is 12, while the sum is 12.

The square root of 12111312 is about 3480.1310320159. The cubic root of 12111312 is about 229.6485622087.

Adding to 12111312 its reverse (21311121), we get a palindrome (33422433).

The spelling of 12111312 in words is "twelve million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 252319 504638 756957 1009276 1513914 2018552 3027828 4037104 6055656 12111312