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11122221112200 = 2332521131371094493
BaseRepresentation
bin1010000111011001100000…
…0010011101101110001000
31110101021101201020110221200
42201312120002131232020
52424211302101042300
635353251114104200
72225361002405442
oct241663002355610
943337351213850
1011122221112200
1135a89a8953550
1212b768941b060
13628a898224a3
142a6465893492
151444ab64c200
hexa1d9809db88

11122221112200 has 1152 divisors, whose sum is σ = 43605059097600. Its totient is φ = 2514945024000.

The previous prime is 11122221112193. The next prime is 11122221112201. The reversal of 11122221112200 is 221112222111.

11122221112200 is a `hidden beast` number, since 1 + 11 + 222 + 211 + 1 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11122221112201) 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 287 ways as a sum of consecutive naturals, for example, 2475453154 + ... + 2475457646.

It is an arithmetic number, because the mean of its divisors is an integer number (37851613800).

Almost surely, 211122221112200 is an apocalyptic number.

11122221112200 is a gapful number since it is divisible by the number (10) 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 11122221112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21802529548800).

11122221112200 is an abundant number, since it is smaller than the sum of its proper divisors (32482837985400).

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

11122221112200 is a wasteful number, since it uses less digits than its factorization.

11122221112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11122221112200 its reverse (221112222111), we get a palindrome (11343333334311).

The spelling of 11122221112200 in words is "eleven trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twelve thousand, two hundred".