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12332100000 = 253551137101
BaseRepresentation
bin10110111110000110…
…01110100110100000
31011211110000120220110
423133003032212200
5200224004200000
65355411411320
7614413056213
oct133703164640
934743016813
1012332100000
115259170290
122481bb3b40
131216bc13bc
1484db8977a
154c29c0850
hex2df0ce9a0

12332100000 has 576 divisors, whose sum is σ = 45782319744. Its totient is φ = 2880000000.

The previous prime is 12332099981. The next prime is 12332100013. The reversal of 12332100000 is 123321.

It is a happy number.

12332100000 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 (12).

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 95 ways as a sum of consecutive naturals, for example, 122099950 + ... + 122100050.

It is an arithmetic number, because the mean of its divisors is an integer number (79483194).

Almost surely, 212332100000 is an apocalyptic number.

12332100000 is a gapful number since it is divisible by the number (10) 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 12332100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22891159872).

12332100000 is an abundant number, since it is smaller than the sum of its proper divisors (33450219744).

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

12332100000 is a wasteful number, since it uses less digits than its factorization.

12332100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12332100000 its reverse (123321), we get a palindrome (12332223321).

12332100000 divided by its reverse (123321) gives a 5-th power (100000 = 105).

It can be divided in two parts, 123 and 32100000, that added together give a palindrome (32100123).

The spelling of 12332100000 in words is "twelve billion, three hundred thirty-two million, one hundred thousand".