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12221032332 = 22319291848311
BaseRepresentation
bin10110110000110111…
…00010011110001100
31011112201000202201010
423120123202132030
5200012041013312
65340403045220
7611564026605
oct133033423614
934481022633
1012221032332
1152014aa523
122450970810
1311c9ba40a2
1483d116dac
154b7d8193c
hex2d86e278c

12221032332 has 48 divisors (see below), whose sum is σ = 31051641600. Its totient is φ = 3726192960.

The previous prime is 12221032331. The next prime is 12221032363. The reversal of 12221032332 is 23323012221.

It is a happy number.

12221032332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12221032299 and 12221032308.

It is not an unprimeable number, because it can be changed into a prime (12221032331) 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 15 ways as a sum of consecutive naturals, for example, 917544 + ... + 930767.

It is an arithmetic number, because the mean of its divisors is an integer number (646909200).

Almost surely, 212221032332 is an apocalyptic number.

12221032332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221032332 is an abundant number, since it is smaller than the sum of its proper divisors (18830609268).

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

12221032332 is a wasteful number, since it uses less digits than its factorization.

12221032332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848366 (or 1848364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12221032332 its reverse (23323012221), we get a palindrome (35544044553).

The spelling of 12221032332 in words is "twelve billion, two hundred twenty-one million, thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 1102 1653 2204 3306 6612 1848311 3696622 5544933 7393244 11089866 22179732 35117909 53601019 70235818 105353727 107202038 140471636 160803057 210707454 214404076 321606114 421414908 643212228 1018419361 2036838722 3055258083 4073677444 6110516166 12221032332