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12212500521221 = 71113353131926203
BaseRepresentation
bin1011000110110111000111…
…0000010110000100000101
31121020111121011022001200022
42301231301300112010011
53100042200113134341
641550202325424525
72400216101440550
oct261556160260405
947214534261608
1012212500521221
11398932418a680
121452a4586b145
136a783177b980
14303133d6b697
15162a1da32e4b
hexb1b71c16105

12212500521221 has 64 divisors (see below), whose sum is σ = 16456749281280. Its totient is φ = 8752356771840.

The previous prime is 12212500521073. The next prime is 12212500521283.

12212500521221 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-12212500521221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212500529221) 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 63 ways as a sum of consecutive naturals, for example, 466059506 + ... + 466085708.

It is an arithmetic number, because the mean of its divisors is an integer number (257136707520).

Almost surely, 212212500521221 is an apocalyptic number.

12212500521221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12212500521221 is the 2017631-st octagonal number.

It is an amenable number.

12212500521221 is a deficient number, since it is larger than the sum of its proper divisors (4244248760059).

12212500521221 is a wasteful number, since it uses less digits than its factorization.

12212500521221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27906.

The product of its (nonzero) digits is 1600, while the sum is 26.

It can be divided in two parts, 12212500 and 521221, that added together give a palindrome (12733721).

The spelling of 12212500521221 in words is "twelve trillion, two hundred twelve billion, five hundred million, five hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 353 1001 1319 2471 3883 4589 9233 14509 17147 26203 27181 32123 50479 101563 120029 183421 188617 288233 340639 353353 465607 1320319 2017631 2384473 3259249 3747029 5121677 6052891 9249659 26229203 34561757 35851739 42370237 64747613 66581801 101746249 120245567 241932299 380179327 449302841 466072607 712223743 841718969 1322701237 2661255289 3145119887 4942331251 9258908659 12200300221 34596318757 85402101547 134203302431 158603902873 939423117017 1110227320111 1744642931603 12212500521221