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12221101220 = 225673907957
BaseRepresentation
bin10110110000110111…
…10011010010100100
31011112201011021012112
423120123303102210
5200012100214340
65340404340152
7611564434466
oct133033632244
934481137175
1012221101220
115201547259
1224509a4658
1311c9bc9553
1483d134136
154b7d97065
hex2d86f34a4

12221101220 has 24 divisors (see below), whose sum is σ = 25702475064. Its totient is φ = 4881171456.

The previous prime is 12221101183. The next prime is 12221101229. The reversal of 12221101220 is 2210112221.

12221101220 is digitally balanced in base 2, 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 4 ways, for example, as 115820644 + 12105280576 = 10762^2 + 110024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12221101195 and 12221101204.

It is not an unprimeable number, because it can be changed into a prime (12221101229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 440519 + ... + 467438.

It is an arithmetic number, because the mean of its divisors is an integer number (1070936461).

Almost surely, 212221101220 is an apocalyptic number.

12221101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221101220 is an abundant number, since it is smaller than the sum of its proper divisors (13481373844).

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

12221101220 is a wasteful number, since it uses less digits than its factorization.

12221101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908639 (or 908637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12221101220 its reverse (2210112221), we get a palindrome (14431213441).

The spelling of 12221101220 in words is "twelve billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 673 1346 2692 3365 6730 13460 907957 1815914 3631828 4539785 9079570 18159140 611055061 1222110122 2444220244 3055275305 6110550610 12221101220