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12032220321 = 3211294619091
BaseRepresentation
bin10110011010010110…
…10001110010100001
31011001112202010022200
423031023101302201
5144120222022241
65305540123413
7604112120352
oct131513216241
934045663280
1012032220321
115114969240
1223b9696569
131199a362c4
14822007d29
154a64d74b6
hex2cd2d1ca1

12032220321 has 48 divisors (see below), whose sum is σ = 19658358720. Its totient is φ = 7024752000.

The previous prime is 12032220313. The next prime is 12032220331. The reversal of 12032220321 is 12302223021.

12032220321 is a `hidden beast` number, since 1 + 2 + 0 + 322 + 20 + 321 = 666.

It is not a de Polignac number, because 12032220321 - 23 = 12032220313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12032220294 and 12032220303.

It is not an unprimeable number, because it can be changed into a prime (12032220331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318986 + ... + 1328076.

It is an arithmetic number, because the mean of its divisors is an integer number (409549140).

Almost surely, 212032220321 is an apocalyptic number.

12032220321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12032220321 is a deficient number, since it is larger than the sum of its proper divisors (7626138399).

12032220321 is a wasteful number, since it uses less digits than its factorization.

12032220321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9598 (or 9595 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12032220321 its reverse (12302223021), we get a palindrome (24334443342).

The spelling of 12032220321 in words is "twelve billion, thirty-two million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 461 957 1383 2871 4149 5071 9091 13369 15213 27273 40107 45639 81819 100001 120321 147059 263639 300003 441177 790917 900009 1323531 2372751 2900029 4190951 8700087 12572853 26100261 37718559 46100461 121537579 138301383 364612737 414904149 1093838211 1336913369 4010740107 12032220321