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111121220000000 = 285772149761
BaseRepresentation
bin11001010001000001101100…
…110110000101100100000000
3112120110002021212210020110202
4121101001230312011210000
5104031102224310000000
61032200214515344332
732256146264335400
oct3121015466054400
9476402255706422
10111121220000000
1132452276847271
12105680538b20a8
134a008bc42bc42
141d6241d748800
15cca7b80badd5
hex65106cd85900

111121220000000 has 864 divisors, whose sum is σ = 325117927461600. Its totient is φ = 37793280000000.

The previous prime is 111121219999991. The next prime is 111121220000041. The reversal of 111121220000000 is 22121111.

111121220000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1028747689984 + 110092472310016 = 1014272^2 + 10492496^2 .

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 146019999620 + ... + 146020000380.

It is an arithmetic number, because the mean of its divisors is an integer number (376293897525).

Almost surely, 2111121220000000 is an apocalyptic number.

111121220000000 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 111121220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162558963730800).

111121220000000 is an abundant number, since it is smaller than the sum of its proper divisors (213996707461600).

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

111121220000000 is an frugal number, since it uses more digits than its factorization.

111121220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 111121220000000 its reverse (22121111), we get a palindrome (111121242121111).

The spelling of 111121220000000 in words is "one hundred eleven trillion, one hundred twenty-one billion, two hundred twenty million", and thus it is an aban number.