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12240333304221 = 3113794379106219
BaseRepresentation
bin1011001000011110110010…
…1101111111000110011101
31121100011102212120221020010
42302013230231333012131
53101021200311213341
642011044222513433
72402222604256521
oct262075455770635
947304385527203
1012240333304221
11399a107055480
121458312a35879
136aa348b50039
1430461462dd81
151635ec268716
hexb21ecb7f19d

12240333304221 has 32 divisors (see below), whose sum is σ = 18285679526400. Its totient is φ = 7217742530880.

The previous prime is 12240333304183. The next prime is 12240333304223.

It is a happy number.

12240333304221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12240333304221 - 210 = 12240333303197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240333304223) 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, 115183650 + ... + 115289868.

It is an arithmetic number, because the mean of its divisors is an integer number (571427485200).

Almost surely, 212240333304221 is an apocalyptic number.

12240333304221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12240333304221 is a deficient number, since it is larger than the sum of its proper divisors (6045346222179).

12240333304221 is a wasteful number, since it uses less digits than its factorization.

12240333304221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200649.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 1224033 and 3304221, that added together give a palindrome (4528254).

The spelling of 12240333304221 in words is "twelve trillion, two hundred forty billion, three hundred thirty-three million, three hundred four thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 111 407 1221 94379 106219 283137 318657 1038169 1168409 3114507 3492023 3505227 3930103 10476069 11790309 38412253 43231133 115236759 129693399 10024843001 30074529003 110273273011 330819819033 370919191037 1112757573111 4080111101407 12240333304221