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12131220012 = 22316710875569
BaseRepresentation
bin10110100110001001…
…11011101000101100
31011022110000211100220
423103010323220230
5144321043020022
65323434051340
7606423445242
oct132304735054
934273024326
1012131220012
11516583716a
122426879b50
1311b43b96c2
14831218792
154b004085c
hex2d313ba2c

12131220012 has 48 divisors (see below), whose sum is σ = 28506992640. Its totient is φ = 4015107072.

The previous prime is 12131219993. The next prime is 12131220037. The reversal of 12131220012 is 21002213121.

12131220012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12131219973 and 12131220000.

It is an unprimeable number.

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, 2175564 + ... + 2181132.

It is an arithmetic number, because the mean of its divisors is an integer number (593895680).

Almost surely, 212131220012 is an apocalyptic number.

12131220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12131220012 is an abundant number, since it is smaller than the sum of its proper divisors (16375772628).

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

12131220012 is a wasteful number, since it uses less digits than its factorization.

12131220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12131220012 its reverse (21002213121), we get a palindrome (33133433133).

The spelling of 12131220012 in words is "twelve billion, one hundred thirty-one million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 167 334 501 668 1002 1087 2004 2174 3261 4348 5569 6522 11138 13044 16707 22276 33414 66828 181529 363058 544587 726116 930023 1089174 1860046 2178348 2790069 3720092 5580138 6053503 11160276 12107006 18160509 24214012 36321018 72642036 1010935001 2021870002 3032805003 4043740004 6065610006 12131220012