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12033112332 = 22329127272267
BaseRepresentation
bin10110011010011101…
…01011100100001100
31011001121102102221010
423031032223210030
5144120434043312
65310011205220
7604122524103
oct131516534414
934047372833
1012033112332
11511541843a
1223b9a46810
131199c89317
1482219b03a
154a661193c
hex2cd3ab90c

12033112332 has 48 divisors (see below), whose sum is σ = 29274255360. Its totient is φ = 3842217792.

The previous prime is 12033112321. The next prime is 12033112337. The reversal of 12033112332 is 23321133021.

12033112332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12033112299 and 12033112308.

It is not an unprimeable number, because it can be changed into a prime (12033112337) 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 15 ways as a sum of consecutive naturals, for example, 91938 + ... + 180329.

It is an arithmetic number, because the mean of its divisors is an integer number (609880320).

Almost surely, 212033112332 is an apocalyptic number.

12033112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12033112332 is an abundant number, since it is smaller than the sum of its proper divisors (17241143028).

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

12033112332 is a wasteful number, since it uses less digits than its factorization.

12033112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272430 (or 272428 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12033112332 its reverse (23321133021), we get a palindrome (35354245353).

The spelling of 12033112332 in words is "twelve billion, thirty-three million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 127 174 254 348 381 508 762 1524 3683 7366 11049 14732 22098 44196 272267 544534 816801 1089068 1633602 3267204 7895743 15791486 23687229 31582972 34577909 47374458 69155818 94748916 103733727 138311636 207467454 414934908 1002759361 2005518722 3008278083 4011037444 6016556166 12033112332