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12357875712 = 211371323312
BaseRepresentation
bin10111000001001011…
…00011100000000000
31011220020112010112110
423200211203200000
5200302104010322
65402132055320
7615145132110
oct134045434000
934806463473
1012357875712
115271775a26
12248a764540
13121c3476c0
14853379040
154c4db2c0c
hex2e0963800

12357875712 has 576 divisors, whose sum is σ = 43721233920. Its totient is φ = 3016949760.

The previous prime is 12357875711. The next prime is 12357875713. The reversal of 12357875712 is 21757875321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12357875711) and next prime (12357875713).

It is a super-2 number, since 2×123578757122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12357875711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398641137 + ... + 398641167.

It is an arithmetic number, because the mean of its divisors is an integer number (75904920).

Almost surely, 212357875712 is an apocalyptic number.

12357875712 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 12357875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21860616960).

12357875712 is an abundant number, since it is smaller than the sum of its proper divisors (31363358208).

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

12357875712 is a wasteful number, since it uses less digits than its factorization.

12357875712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 79 counting only the distinct ones).

The product of its digits is 823200, while the sum is 48.

The spelling of 12357875712 in words is "twelve billion, three hundred fifty-seven million, eight hundred seventy-five thousand, seven hundred twelve".