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12213244231221 = 3111922790919439
BaseRepresentation
bin1011000110111001111000…
…0101010111111000110101
31121020120111222201110000010
42301232132011113320311
53100100211010344341
641550404214010433
72400243402041355
oct261563605277065
947216458643003
1012213244231221
113989675a73a40
121453012946a19
136a791c883467
143031a4a42b65
15162a63e8b716
hexb1b9e157e35

12213244231221 has 64 divisors (see below), whose sum is σ = 18786137702400. Its totient is φ = 6979989931200.

The previous prime is 12213244231219. The next prime is 12213244231247.

12213244231221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12213244231221 - 21 = 12213244231219 is a prime.

It is a super-2 number, since 2×122132442312212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213244233221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1293908220 + ... + 1293917658.

It is an arithmetic number, because the mean of its divisors is an integer number (293533401600).

Almost surely, 212213244231221 is an apocalyptic number.

12213244231221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12213244231221 is a deficient number, since it is larger than the sum of its proper divisors (6572893471179).

12213244231221 is a wasteful number, since it uses less digits than its factorization.

12213244231221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18790.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1221324 and 4231221, that added together give a palindrome (5452545).

The spelling of 12213244231221 in words is "twelve trillion, two hundred thirteen billion, two hundred forty-four million, two hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 11 19 33 57 209 227 627 681 2497 4313 7491 9091 9439 12939 27273 28317 47443 100001 103829 142329 172729 179341 300003 311487 518187 538023 1900019 1972751 2063657 2142653 5700057 5918253 6190971 6427959 22700227 23569183 39209483 40710407 68100681 70707549 85809949 117628449 122131221 257429847 431304313 447814477 943909439 1293912939 1343443431 1630389031 2831728317 4891167093 17934279341 19478858423 53802838023 58436575269 214267442653 370098310037 642802327959 1110294930111 4071081410407 12213244231221