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20012032320000 = 2935472923541
BaseRepresentation
bin1001000110011011010100…
…00100111110001000000000
32121212010112221101200201020
410203031222010332020000
510110334120233220000
6110321222320305440
74133551550036010
oct443155204761000
977763487350636
1020012032320000
116416067594156
1222b2571172280
13b22185053506
144d283228dc40
1524a85b38cba0
hex12336a13e200

20012032320000 has 1200 divisors, whose sum is σ = 78875723838912. Its totient is φ = 4415201280000.

The previous prime is 20012032319989. The next prime is 20012032320017. The reversal of 20012032320000 is 2323021002.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 5651518230 + ... + 5651521770.

Almost surely, 220012032320000 is an apocalyptic number.

20012032320000 is a gapful number since it is divisible by the number (20) 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 20012032320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39437861919456).

20012032320000 is an abundant number, since it is smaller than the sum of its proper divisors (58863691518912).

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

20012032320000 is an frugal number, since it uses more digits than its factorization.

20012032320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20012032320000 its reverse (2323021002), we get a palindrome (20014355341002).

The spelling of 20012032320000 in words is "twenty trillion, twelve billion, thirty-two million, three hundred twenty thousand".