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2012022212200 = 23527211137691867
BaseRepresentation
bin11101010001110101110…
…111101000011001101000
321010100101021202111201121
4131101311313220121220
5230431110141242300
64140151002425024
7265235533423300
oct35216567503150
97110337674647
102012022212200
117063260a3850
12285b3a202174
1311796b1a51c0
146d54d410600
153750d68981a
hex1d475de8668

2012022212200 has 576 divisors, whose sum is σ = 6404786942400. Its totient is φ = 577821081600.

The previous prime is 2012022212147. The next prime is 2012022212203. The reversal of 2012022212200 is 22122202102.

It is not an unprimeable number, because it can be changed into a prime (2012022212203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1077675667 + ... + 1077677533.

It is an arithmetic number, because the mean of its divisors is an integer number (11119421775).

Almost surely, 22012022212200 is an apocalyptic number.

2012022212200 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 2012022212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202393471200).

2012022212200 is an abundant number, since it is smaller than the sum of its proper divisors (4392764730200).

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

2012022212200 is a wasteful number, since it uses less digits than its factorization.

2012022212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2012022212200 its reverse (22122202102), we get a palindrome (2034144414302).

It can be divided in two parts, 2012022 and 212200, that added together give a palindrome (2224222).

The spelling of 2012022212200 in words is "two trillion, twelve billion, twenty-two million, two hundred twelve thousand, two hundred".