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12201320012 = 22716310312593
BaseRepresentation
bin10110101110100000…
…10101111001001100
31011111022221021111012
423113100111321030
5144442014220022
65334420344352
7611234336360
oct132720257114
934438837435
1012201320012
1151a1366352
1224462450b8
1311c5a918ab
1483a6652a0
154b628ade2
hex2d7415e4c

12201320012 has 48 divisors (see below), whose sum is σ = 24585641472. Its totient is φ = 5190013440.

The previous prime is 12201319997. The next prime is 12201320029. The reversal of 12201320012 is 21002310221.

It is a happy number.

12201320012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 4704188 + ... + 4706780.

It is an arithmetic number, because the mean of its divisors is an integer number (512200864).

Almost surely, 212201320012 is an apocalyptic number.

It is an amenable number.

12201320012 is an abundant number, since it is smaller than the sum of its proper divisors (12384321460).

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

12201320012 is a wasteful number, since it uses less digits than its factorization.

12201320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12201320012 its reverse (21002310221), we get a palindrome (33203630233).

The spelling of 12201320012 in words is "twelve billion, two hundred one million, three hundred twenty thousand, twelve".

Divisors: 1 2 4 7 14 28 163 326 652 1031 1141 2062 2282 2593 4124 4564 5186 7217 10372 14434 18151 28868 36302 72604 168053 336106 422659 672212 845318 1176371 1690636 2352742 2673383 2958613 4705484 5346766 5917226 10693532 11834452 18713681 37427362 74854724 435761429 871522858 1743045716 3050330003 6100660006 12201320012