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12002020021200 = 24352112693380089
BaseRepresentation
bin1010111010100111000000…
…1000111101001111010000
31120111101022102002210221110
42232221300020331033100
53033120114111134300
641305352450053320
72346055146632106
oct256516010751720
946441272083843
1012002020021200
113908034456710
12141a0a427a240
13690a2a056bc1
142d6c87da9c76
1515c30043a550
hexaea7023d3d0

12002020021200 has 240 divisors, whose sum is σ = 42097533710400. Its totient is φ = 2898763468800.

The previous prime is 12002020021193. The next prime is 12002020021207. The reversal of 12002020021200 is 212002020021.

It is an interprime number because it is at equal distance from previous prime (12002020021193) and next prime (12002020021207).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002020021207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1860756 + ... + 5240844.

It is an arithmetic number, because the mean of its divisors is an integer number (175406390460).

Almost surely, 212002020021200 is an apocalyptic number.

12002020021200 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 12002020021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21048766855200).

12002020021200 is an abundant number, since it is smaller than the sum of its proper divisors (30095513689200).

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

12002020021200 is a wasteful number, since it uses less digits than its factorization.

12002020021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380390 (or 3380379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002020021200 its reverse (212002020021), we get a palindrome (12214022041221).

The spelling of 12002020021200 in words is "twelve trillion, two billion, twenty million, twenty-one thousand, two hundred".