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12221000180 = 225611050009
BaseRepresentation
bin10110110000110110…
…11010100111110100
31011112200222010121022
423120123122213310
5200012034001210
65340402240312
7611563534064
oct133033324764
934480863538
1012221000180
115201488354
122450956098
1311c9b9256c
1483d1093a4
154b7d77155
hex2d86da9f4

12221000180 has 12 divisors (see below), whose sum is σ = 25664100420. Its totient is φ = 4888400064.

The previous prime is 12221000179. The next prime is 12221000219. The reversal of 12221000180 is 8100012221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4439290384 + 7781709796 = 66628^2 + 88214^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 305524985 + ... + 305525024.

It is an arithmetic number, because the mean of its divisors is an integer number (2138675035).

Almost surely, 212221000180 is an apocalyptic number.

12221000180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221000180 is an abundant number, since it is smaller than the sum of its proper divisors (13443100240).

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

12221000180 is a wasteful number, since it uses less digits than its factorization.

12221000180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611050018 (or 611050016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The spelling of 12221000180 in words is "twelve billion, two hundred twenty-one million, one hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 611050009 1222100018 2444200036 3055250045 6110500090 12221000180