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12032211220 = 2252395234813
BaseRepresentation
bin10110011010010110…
…01111100100010100
31011001112201122211121
423031023033210110
5144120221224340
65305540013324
7604112052001
oct131513174424
934045648747
1012032211220
115114962417
1223b9691244
131199a32113
148220048a8
154a64d494a
hex2cd2cf914

12032211220 has 48 divisors (see below), whose sum is σ = 25427162880. Its totient is φ = 4782589056.

The previous prime is 12032211211. The next prime is 12032211221. The reversal of 12032211220 is 2211223021.

It is a happy number.

12032211220 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 = 12032211194 and 12032211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032211221) 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, 2497534 + ... + 2502346.

It is an arithmetic number, because the mean of its divisors is an integer number (529732560).

Almost surely, 212032211220 is an apocalyptic number.

12032211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032211220 is an abundant number, since it is smaller than the sum of its proper divisors (13394951660).

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

12032211220 is a wasteful number, since it uses less digits than its factorization.

12032211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12032211220 its reverse (2211223021), we get a palindrome (14243434241).

The spelling of 12032211220 in words is "twelve billion, thirty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 239 478 523 956 1046 1195 2092 2390 2615 4780 4813 5230 9626 10460 19252 24065 48130 96260 124997 249994 499988 624985 1150307 1249970 2300614 2499940 2517199 4601228 5034398 5751535 10068796 11503070 12585995 23006140 25171990 50343980 601610561 1203221122 2406442244 3008052805 6016105610 12032211220