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11111121216 = 263413792087
BaseRepresentation
bin10100101100100011…
…00100000101000000
31001200100112102220000
422112101210011000
5140223421334331
65034313520000
7542225654256
oct122621440500
931610472800
1011111121216
114791a35908
1221a1113000
131080c63150
147759585d6
154506de0e6
hex296464140

11111121216 has 280 divisors, whose sum is σ = 35936651520. Its totient is φ = 3373913088.

The previous prime is 11111121211. The next prime is 11111121247. The reversal of 11111121216 is 61212111111.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (52) and by the product (576) of the squares of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5322925 + ... + 5325011.

It is an arithmetic number, because the mean of its divisors is an integer number (128345184).

Almost surely, 211111121216 is an apocalyptic number.

11111121216 is a gapful number since it is divisible by the number (16) 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 11111121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17968325760).

11111121216 is an abundant number, since it is smaller than the sum of its proper divisors (24825530304).

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

11111121216 is a wasteful number, since it uses less digits than its factorization.

11111121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2184 counting only the distinct ones).

The product of its digits is 24, while the sum is 18.

Adding to 11111121216 its reverse (61212111111), we get a palindrome (72323232327).

The spelling of 11111121216 in words is "eleven billion, one hundred eleven million, one hundred twenty-one thousand, two hundred sixteen".