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11112201120 = 2535373131999
BaseRepresentation
bin10100101100101011…
…01011101110100000
31001200102120022020110
422112111223232200
5140224210413440
65034353011320
7542241102546
oct122625535640
931612508213
1011112201120
114792603199
1221a1553b40
131081250847
14775b59d96
15450854080
hex29656bba0

11112201120 has 192 divisors, whose sum is σ = 36082368000. Its totient is φ = 2872516608.

The previous prime is 11112201101. The next prime is 11112201137. The reversal of 11112201120 is 2110221111.

11112201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11112201096 and 11112201105.

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 31 ways as a sum of consecutive naturals, for example, 5557881 + ... + 5559879.

It is an arithmetic number, because the mean of its divisors is an integer number (187929000).

Almost surely, 211112201120 is an apocalyptic number.

11112201120 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 11112201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18041184000).

11112201120 is an abundant number, since it is smaller than the sum of its proper divisors (24970166880).

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

11112201120 is a wasteful number, since it uses less digits than its factorization.

11112201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11112201120 its reverse (2110221111), we get a palindrome (13222422231).

The spelling of 11112201120 in words is "eleven billion, one hundred twelve million, two hundred one thousand, one hundred twenty".