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12221044020 = 22335231397079
BaseRepresentation
bin10110110000110111…
…00101010100110100
31011112201001100202000
423120123211110310
5200012041402040
65340403215300
7611564105643
oct133033452464
934481040660
1012221044020
115201508289
122450977530
1311c9ba94c3
1483d11b35a
154b7d85130
hex2d86e5534

12221044020 has 192 divisors, whose sum is σ = 39965184000. Its totient is φ = 3094388352.

The previous prime is 12221043977. The next prime is 12221044049. The reversal of 12221044020 is 2044012221.

12221044020 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 440 + 2 + 0 = 666.

12221044020 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 = 12221043984 and 12221044002.

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 63 ways as a sum of consecutive naturals, for example, 1722841 + ... + 1729919.

It is an arithmetic number, because the mean of its divisors is an integer number (208152000).

Almost surely, 212221044020 is an apocalyptic number.

12221044020 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 12221044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982592000).

12221044020 is an abundant number, since it is smaller than the sum of its proper divisors (27744139980).

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

12221044020 is a wasteful number, since it uses less digits than its factorization.

12221044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12221044020 its reverse (2044012221), we get a palindrome (14265056241).

The spelling of 12221044020 in words is "twelve billion, two hundred twenty-one million, forty-four thousand, twenty".