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211112220000000 = 28357111013167
BaseRepresentation
bin110000000000000101100100…
…111000010111111100000000
31000200111010112121000101202010
4300000011210320113330000
5210132330311310000000
62024555340501052520
762316232420666614
oct6000054470277400
91020433477011663
10211112220000000
11612a320a562210
121b816b673b7140
1390a4a48ac48a7
143a1bc59145344
1519617a76add50
hexc00164e17f00

211112220000000 has 1152 divisors, whose sum is σ = 774009718530048. Its totient is φ = 50656000000000.

The previous prime is 211112219999987. The next prime is 211112220000007. The reversal of 211112220000000 is 22211112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112220000007) 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 127 ways as a sum of consecutive naturals, for example, 66659998417 + ... + 66660001583.

It is an arithmetic number, because the mean of its divisors is an integer number (671883436224).

Almost surely, 2211112220000000 is an apocalyptic number.

211112220000000 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 211112220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387004859265024).

211112220000000 is an abundant number, since it is smaller than the sum of its proper divisors (562897498530048).

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

211112220000000 is an frugal number, since it uses more digits than its factorization.

211112220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3289 counting only the distinct ones).

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

Adding to 211112220000000 its reverse (22211112), we get a palindrome (211112242211112).

It can be divided in two parts, 2111122 and 20000000, that added together give a palindrome (22111122).

The spelling of 211112220000000 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred twenty million", and thus it is an aban number.