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200112021120 = 273511173491597
BaseRepresentation
bin1011101001011110011…
…0110001111010000000
3201010112011001221120210
42322113212301322000
511234312134133440
6231532531034120
720312651054124
oct2722746617200
9633464057523
10200112021120
117795a023340
123294913b940
1315b415b146b
149984d21584
155313200a80
hex2e979b1e80

200112021120 has 512 divisors, whose sum is σ = 739349856000. Its totient is φ = 45499023360.

The previous prime is 200112021077. The next prime is 200112021127. The reversal of 200112021120 is 21120211002.

200112021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 200112021096 and 200112021105.

It is not an unprimeable number, because it can be changed into a prime (200112021127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125304162 + ... + 125305758.

Almost surely, 2200112021120 is an apocalyptic number.

200112021120 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 200112021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369674928000).

200112021120 is an abundant number, since it is smaller than the sum of its proper divisors (539237834880).

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

200112021120 is a wasteful number, since it uses less digits than its factorization.

200112021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200112021120 its reverse (21120211002), we get a palindrome (221232232122).

The spelling of 200112021120 in words is "two hundred billion, one hundred twelve million, twenty-one thousand, one hundred twenty".