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200200021120000 = 2105411227312511
BaseRepresentation
bin101101100001010010110011…
…001001001001010000000000
3222020211221020200122202021001
4231201102303021021100000
5202220034120401320000
61545442341532141344
760111655103634046
oct5541226311112000
9866757220582231
10200200021120000
115887639679a2a0
121a554132007854
138792a1ca941a5
143761a38842396
1518229de2d646a
hexb614b3249400

200200021120000 has 440 divisors, whose sum is σ = 545842463899392. Its totient is φ = 72762163200000.

The previous prime is 200200021119937. The next prime is 200200021120003. The reversal of 200200021120000 is 21120002002.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200021120003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 16001913745 + ... + 16001926255.

Almost surely, 2200200021120000 is an apocalyptic number.

200200021120000 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 200200021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272921231949696).

200200021120000 is an abundant number, since it is smaller than the sum of its proper divisors (345642442779392).

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

200200021120000 is a wasteful number, since it uses less digits than its factorization.

200200021120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14835 (or 14802 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200200021120000 its reverse (21120002002), we get a palindrome (200221141122002).

The spelling of 200200021120000 in words is "two hundred trillion, two hundred billion, twenty-one million, one hundred twenty thousand".