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12001320000 = 263254173753
BaseRepresentation
bin10110010110101010…
…11001110001000000
31010222101121020001100
423023111121301000
5144034314220000
65302513534400
7603255352065
oct131325316100
933871536040
1012001320000
1150a948338a
1223ab274400
1311935075a7
1481bc82c6c
154a3931a00
hex2cb559c40

12001320000 has 840 divisors, whose sum is σ = 47626423416. Its totient is φ = 2875392000.

The previous prime is 12001319987. The next prime is 12001320047. The reversal of 12001320000 is 2310021.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 8190974016 + 3810345984 = 90504^2 + 61728^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 226439974 + ... + 226440026.

Almost surely, 212001320000 is an apocalyptic number.

12001320000 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 12001320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23813211708).

12001320000 is an abundant number, since it is smaller than the sum of its proper divisors (35625103416).

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

12001320000 is a wasteful number, since it uses less digits than its factorization.

12001320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12001320000 its reverse (2310021), we get a palindrome (12003630021).

The spelling of 12001320000 in words is "twelve billion, one million, three hundred twenty thousand".