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12221031032 = 2373743731879
BaseRepresentation
bin10110110000110111…
…00010001001111000
31011112201000200220222
423120123202021320
5200012040443112
65340403035212
7611564023040
oct133033421170
934481020828
1012221031032
1152014a9551
12245096bb08
1311c9ba3612
1483d116720
154b7d81372
hex2d86e2278

12221031032 has 128 divisors (see below), whose sum is σ = 27913036800. Its totient is φ = 4906718208.

The previous prime is 12221031013. The next prime is 12221031037. The reversal of 12221031032 is 23013012221.

It is a self number, because there is not a number n which added to its sum of digits gives 12221031032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221031037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6503069 + ... + 6504947.

It is an arithmetic number, because the mean of its divisors is an integer number (218070600).

Almost surely, 212221031032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13956518400).

12221031032 is an abundant number, since it is smaller than the sum of its proper divisors (15692005768).

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

12221031032 is a wasteful number, since it uses less digits than its factorization.

12221031032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12221031032 its reverse (23013012221), we get a palindrome (35234043253).

The spelling of 12221031032 in words is "twelve billion, two hundred twenty-one million, thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 37 43 56 73 74 86 146 148 172 259 292 296 301 344 511 518 584 602 1022 1036 1204 1591 1879 2044 2072 2408 2701 3139 3182 3758 4088 5402 6278 6364 7516 10804 11137 12556 12728 13153 15032 18907 21608 21973 22274 25112 26306 37814 43946 44548 52612 69523 75628 80797 87892 89096 105224 116143 137167 139046 151256 161594 175784 232286 274334 278092 323188 464572 486661 548668 556184 565579 646376 813001 929144 960169 973322 1097336 1131158 1626002 1920338 1946644 2262316 2989489 3252004 3840676 3893288 4524632 5075179 5898181 5978978 6504008 7681352 10150358 11796362 11957956 20300716 20926423 23592724 23915912 35526253 40601432 41287267 41852846 47185448 71052506 82574534 83705692 142105012 165149068 167411384 218232697 284210024 330298136 436465394 872930788 1527628879 1745861576 3055257758 6110515516 12221031032