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12203212032 = 283311214591
BaseRepresentation
bin10110101110101111…
…00011110100000000
31011111110111101212000
423113113203310000
5144443010241112
65334525104000
7611256406434
oct132727436400
934443441760
1012203212032
1151a2438900
1224469b8000
1311c62a4b2b
1483a9d89c4
154b65117dc
hex2d75e3d00

12203212032 has 216 divisors, whose sum is σ = 39668643840. Its totient is φ = 3697689600.

The previous prime is 12203212013. The next prime is 12203212039. The reversal of 12203212032 is 23021230221.

12203212032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12203211996 and 12203212014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12203212039) 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 23 ways as a sum of consecutive naturals, for example, 829057 + ... + 843647.

Almost surely, 212203212032 is an apocalyptic number.

12203212032 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 12203212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19834321920).

12203212032 is an abundant number, since it is smaller than the sum of its proper divisors (27465431808).

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

12203212032 is a wasteful number, since it uses less digits than its factorization.

12203212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14638 (or 14607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12203212032 its reverse (23021230221), we get a palindrome (35224442253).

The spelling of 12203212032 in words is "twelve billion, two hundred three million, two hundred twelve thousand, thirty-two".