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12330231232 = 261135948787
BaseRepresentation
bin10110111101111000…
…00110010111000000
31011211022111122102211
423132330012113000
5200223014344412
65355303351504
7614361144004
oct133674062700
934738448384
1012330231232
115258104250
122481452594
1312166b8917
1484d820704
154c2751ca7
hex2def065c0

12330231232 has 56 divisors (see below), whose sum is σ = 26767048320. Its totient is φ = 5588924160.

The previous prime is 12330231191. The next prime is 12330231313. The reversal of 12330231232 is 23213203321.

12330231232 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 (22).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 228343 + ... + 277129.

Almost surely, 212330231232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13383524160).

12330231232 is an abundant number, since it is smaller than the sum of its proper divisors (14436817088).

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

12330231232 is a wasteful number, since it uses less digits than its factorization.

12330231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49169 (or 49159 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12330231232 its reverse (23213203321), we get a palindrome (35543434553).

The spelling of 12330231232 in words is "twelve billion, three hundred thirty million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 359 704 718 1436 2872 3949 5744 7898 11488 15796 22976 31592 48787 63184 97574 126368 195148 252736 390296 536657 780592 1073314 1561184 2146628 3122368 4293256 8586512 17173024 17514533 34346048 35029066 70058132 140116264 192659863 280232528 385319726 560465056 770639452 1120930112 1541278904 3082557808 6165115616 12330231232