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12032011320000 = 26354775119073
BaseRepresentation
bin1010111100010110101111…
…0000101011101011000000
31120121020201120000122111220
42233011223300223223000
53034113024344220000
641331232451435040
72351166312521040
oct257055360535300
946536646018456
1012032011320000
113919824797371
121423a742b5a80
136937c9693659
142d84d11cb720
1515cea83e61a0
hexaf16bc2bac0

12032011320000 has 560 divisors, whose sum is σ = 45526509253632. Its totient is φ = 2746368000000.

The previous prime is 12032011319983. The next prime is 12032011320019. The reversal of 12032011320000 is 2311023021.

12032011320000 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 (560).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 630830464 + ... + 630849536.

Almost surely, 212032011320000 is an apocalyptic number.

12032011320000 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 12032011320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763254626816).

12032011320000 is an abundant number, since it is smaller than the sum of its proper divisors (33494497933632).

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

12032011320000 is an equidigital number, since it uses as much as digits as its factorization.

12032011320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19866 (or 19841 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12032011320000 its reverse (2311023021), we get a palindrome (12034322343021).

The spelling of 12032011320000 in words is "twelve trillion, thirty-two billion, eleven million, three hundred twenty thousand".