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12131311212 = 2232379107591
BaseRepresentation
bin10110100110001010…
…10001111001101100
31011022110012110110200
423103011101321230
5144321103424322
65323440033500
7606424305156
oct132305217154
934273173420
1012131311212
115165899739
122426902890
1311b441c077
1483123dad6
154b005c8ac
hex2d3151e6c

12131311212 has 36 divisors (see below), whose sum is σ = 31494053136. Its totient is φ = 3934478880.

The previous prime is 12131311207. The next prime is 12131311217. The reversal of 12131311212 is 21211313121.

12131311212 is a `hidden beast` number, since 12 + 131 + 311 + 212 = 666.

12131311212 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 (12131311207) and next prime (12131311217).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12131311217) 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 11 ways as a sum of consecutive naturals, for example, 4552464 + ... + 4555127.

Almost surely, 212131311212 is an apocalyptic number.

12131311212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12131311212 is an abundant number, since it is smaller than the sum of its proper divisors (19362741924).

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

12131311212 is a wasteful number, since it uses less digits than its factorization.

12131311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107638 (or 9107633 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12131311212 its reverse (21211313121), we get a palindrome (33342624333).

The spelling of 12131311212 in words is "twelve billion, one hundred thirty-one million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 9107591 18215182 27322773 36430364 54645546 81968319 109291092 163936638 327873276 336980867 673961734 1010942601 1347923468 2021885202 3032827803 4043770404 6065655606 12131311212