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12320023012 = 22112176532293
BaseRepresentation
bin10110111100101010…
…01010000111100100
31011210121022000101121
423132111022013210
5200212411214022
65354300503324
7614205316303
oct133625120744
934717260347
1012320023012
115252371700
122479b4ab44
13121455335b
1484c32443a
154c18d72c7
hex2de54a1e4

12320023012 has 72 divisors (see below), whose sum is σ = 25141625208. Its totient is φ = 5260231680.

The previous prime is 12320022977. The next prime is 12320023013. The reversal of 12320023012 is 21032002321.

12320023012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1014804736 + 11305218276 = 31856^2 + 106326^2 .

It is not an unprimeable number, because it can be changed into a prime (12320023013) 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 23 ways as a sum of consecutive naturals, for example, 5371738 + ... + 5374030.

It is an arithmetic number, because the mean of its divisors is an integer number (349189239).

Almost surely, 212320023012 is an apocalyptic number.

It is an amenable number.

12320023012 is an abundant number, since it is smaller than the sum of its proper divisors (12821602196).

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

12320023012 is a wasteful number, since it uses less digits than its factorization.

12320023012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12320023012 its reverse (21032002321), we get a palindrome (33352025333).

The spelling of 12320023012 in words is "twelve billion, three hundred twenty million, twenty-three thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 653 748 1306 2057 2293 2612 4114 4586 7183 8228 9172 11101 14366 22202 25223 28732 38981 44404 50446 77962 79013 100892 122111 155924 158026 244222 277453 316052 428791 488444 554906 857582 1109812 1343221 1497329 1715164 2686442 2994658 4716701 5372884 5989316 9433402 16470619 18866804 25454593 32941238 50909186 65882476 101818372 181176809 280000523 362353618 560001046 724707236 1120002092 3080005753 6160011506 12320023012