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12255366355221 = 3114753149086607
BaseRepresentation
bin1011001001010110110011…
…0000100001100100010101
31121101121020112221001100210
42302111230300201210111
53101242442241331341
642022012041200033
72403264255142533
oct262255460414425
947347215831323
1012255366355221
1139a55208a1170
12145b209490019
136ab8a349b9a2
1430523cdb9153
15163bcbe0ac16
hexb256cc21915

12255366355221 has 32 divisors (see below), whose sum is σ = 18548759420928. Its totient is φ = 7132303231040.

The previous prime is 12255366355201. The next prime is 12255366355223.

It is a happy number.

12255366355221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12255366355221 - 217 = 12255366224149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12255366355223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74461101 + ... + 74625506.

It is an arithmetic number, because the mean of its divisors is an integer number (579648731904).

Almost surely, 212255366355221 is an apocalyptic number.

12255366355221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12255366355221 is a deficient number, since it is larger than the sum of its proper divisors (6293393065707).

12255366355221 is a wasteful number, since it uses less digits than its factorization.

12255366355221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149086721.

The product of its digits is 3240000, while the sum is 48.

The spelling of 12255366355221 in words is "twelve trillion, two hundred fifty-five billion, three hundred sixty-six million, three hundred fifty-five thousand, two hundred twenty-one".

Divisors: 1 3 11 33 47 53 141 159 517 583 1551 1749 2491 7473 27401 82203 149086607 447259821 1639952677 4919858031 7007070529 7901590171 21021211587 23704770513 77077775819 86917491881 231233327457 260752475643 371374738037 1114124214111 4085122118407 12255366355221