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2012122200000 = 2635511304867
BaseRepresentation
bin11101010001111011110…
…101000011011111000000
321010100122020220102012110
4131101323311003133000
5230431311240400000
64140204533455320
7265241156335023
oct35217365033700
97110566812173
102012122200000
117063775870a0
12285b677a1540
13117985b13293
146d55c7db1ba
153751733a850
hex1d47bd437c0

2012122200000 has 336 divisors, whose sum is σ = 7259204631168. Its totient is φ = 487785600000.

The previous prime is 2012122199947. The next prime is 2012122200019. The reversal of 2012122200000 is 22212102.

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

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, 6447567 + ... + 6752433.

It is an arithmetic number, because the mean of its divisors is an integer number (21604775688).

Almost surely, 22012122200000 is an apocalyptic number.

2012122200000 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 2012122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629602315584).

2012122200000 is an abundant number, since it is smaller than the sum of its proper divisors (5247082431168).

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

2012122200000 is an equidigital number, since it uses as much as digits as its factorization.

2012122200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304918 (or 304888 counting only the distinct ones).

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

Adding to 2012122200000 its reverse (22212102), we get a palindrome (2012144412102).

It can be divided in two parts, 2012122 and 200000, that added together give a palindrome (2212122).

The spelling of 2012122200000 in words is "two trillion, twelve billion, one hundred twenty-two million, two hundred thousand".