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12091008000 = 21035323372
BaseRepresentation
bin10110100001010111…
…00010010000000000
31011012122100211212010
423100223202100000
5144230244224000
65315440132520
7605424605121
oct132053422000
934178324763
1012091008000
1151450712a5
122415307140
1311a8c7a506
14829b4c048
154ab74ad50
hex2d0ae2400

12091008000 has 528 divisors, whose sum is σ = 43132811904. Its totient is φ = 3000729600.

The previous prime is 12091007987. The next prime is 12091008071. The reversal of 12091008000 is 80019021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326783982 + ... + 326784018.

Almost surely, 212091008000 is an apocalyptic number.

12091008000 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 12091008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21566405952).

12091008000 is an abundant number, since it is smaller than the sum of its proper divisors (31041803904).

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

12091008000 is an equidigital number, since it uses as much as digits as its factorization.

12091008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 12091008000 in words is "twelve billion, ninety-one million, eight thousand".