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12001110330000 = 243541123306091
BaseRepresentation
bin1010111010100011100111…
…1010110000101010010000
31120111021222000100201012210
42232220321322300222100
53033111233221030000
641305122312152120
72346023462451141
oct256507172605220
946437860321183
1012001110330000
113907707a05200
121419a8b698640
1369091374939c
142d6bdd249ac8
1515c29a647350
hexaea39eb0a90

12001110330000 has 300 divisors, whose sum is σ = 42583298095184. Its totient is φ = 2909359200000.

The previous prime is 12001110329987. The next prime is 12001110330017. The reversal of 12001110330000 is 3301110021.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1976955 + ... + 5283045.

Almost surely, 212001110330000 is an apocalyptic number.

12001110330000 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 12001110330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21291649047592).

12001110330000 is an abundant number, since it is smaller than the sum of its proper divisors (30582187765184).

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

12001110330000 is a wasteful number, since it uses less digits than its factorization.

12001110330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306144 (or 3306112 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12001110330000 its reverse (3301110021), we get a palindrome (12004411440021).

The spelling of 12001110330000 in words is "twelve trillion, one billion, one hundred ten million, three hundred thirty thousand".