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12110221112220 = 22345711226942787
BaseRepresentation
bin1011000000111010000101…
…1011010111001110011100
31120212201121010112202010000
42300032201123113032130
53041403213101042340
641431205255014300
72356635366011010
oct260164133271634
946781533482100
1012110221112220
113949a09117890
12143706066a390
1369acb195650a
142dc1d02bc540
15160034642d30
hexb03a16d739c

12110221112220 has 480 divisors, whose sum is σ = 47386402398720. Its totient is φ = 2515241756160.

The previous prime is 12110221112207. The next prime is 12110221112237. The reversal of 12110221112220 is 2221112201121.

12110221112220 is a `hidden beast` number, since 1 + 2 + 110 + 221 + 112 + 220 = 666.

12110221112220 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12110221112193 and 12110221112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 283013667 + ... + 283056453.

It is an arithmetic number, because the mean of its divisors is an integer number (98721671664).

Almost surely, 212110221112220 is an apocalyptic number.

12110221112220 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 12110221112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23693201199360).

12110221112220 is an abundant number, since it is smaller than the sum of its proper divisors (35276181286500).

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

12110221112220 is a wasteful number, since it uses less digits than its factorization.

12110221112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45095 (or 45084 counting only the distinct ones).

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

Adding to 12110221112220 its reverse (2221112201121), we get a palindrome (14331333313341).

The spelling of 12110221112220 in words is "twelve trillion, one hundred ten billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty".