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12324023712 = 253272111331197
BaseRepresentation
bin10110111101001000…
…11010110110100000
31011210212211021022200
423132210122312200
5200214422224322
65354522333200
7614254321200
oct133644326640
934725737280
1012324023712
115254654470
12247b35a200
131215324330
1484ca86400
154c1e278ac
hex2de91ada0

12324023712 has 864 divisors, whose sum is σ = 49691625984. Its totient is φ = 2844979200.

The previous prime is 12324023711. The next prime is 12324023717. The reversal of 12324023712 is 21732042321.

12324023712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12324023711) 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 143 ways as a sum of consecutive naturals, for example, 62558398 + ... + 62558594.

It is an arithmetic number, because the mean of its divisors is an integer number (57513456).

Almost surely, 212324023712 is an apocalyptic number.

12324023712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12324023712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24845812992).

12324023712 is an abundant number, since it is smaller than the sum of its proper divisors (37367602272).

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

12324023712 is a wasteful number, since it uses less digits than its factorization.

12324023712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 12324023712 in words is "twelve billion, three hundred twenty-four million, twenty-three thousand, seven hundred twelve".