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200012032012000 = 25531321991486813
BaseRepresentation
bin101101011110100011101110…
…000111100110111011100000
3222020011222000101222121010111
4231132203232013212323200
5202203444120143341000
61545220131541141104
760062251415606635
oct5536435607467340
9866158011877114
10200012032012000
115880369884a01a
121a5238089ba794
13877b090c51400
1437568c39b618c
15181cb8a534cba
hexb5e8ee1e6ee0

200012032012000 has 288 divisors, whose sum is σ = 534814132507200. Its totient is φ = 73479438489600.

The previous prime is 200012032011973. The next prime is 200012032012021. The reversal of 200012032012000 is 210230210002.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133780594 + ... + 135267406.

It is an arithmetic number, because the mean of its divisors is an integer number (1856993515650).

Almost surely, 2200012032012000 is an apocalyptic number.

200012032012000 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 200012032012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267407066253600).

200012032012000 is an abundant number, since it is smaller than the sum of its proper divisors (334802100495200).

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

200012032012000 is a wasteful number, since it uses less digits than its factorization.

200012032012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487063 (or 1487032 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 200012032012000 its reverse (210230210002), we get a palindrome (200222262222002).

The spelling of 200012032012000 in words is "two hundred trillion, twelve billion, thirty-two million, twelve thousand".