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12202222220221 = 1112735373333757
BaseRepresentation
bin1011000110010000110100…
…0111101111001110111101
31121012112001211212021100111
42301210031013233032331
53044410122342021341
641541342402030021
72366403304352455
oct261441507571675
947175054767314
1012202222220221
113984a2a371a40
121450a57648311
136a6884220267
1430283ac82d65
1516261b500681
hexb190d1ef3bd

12202222220221 has 32 divisors (see below), whose sum is σ = 13473091104768. Its totient is φ = 10959109539840.

The previous prime is 12202222220197. The next prime is 12202222220297.

12202222220221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12202222220221 - 217 = 12202222089149 is a prime.

It is a super-2 number, since 2×122022222202212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12202222220192 and 12202222220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202222200221) 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, 361455475 + ... + 361489231.

It is an arithmetic number, because the mean of its divisors is an integer number (421034097024).

Almost surely, 212202222220221 is an apocalyptic number.

12202222220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202222220221 is a deficient number, since it is larger than the sum of its proper divisors (1270868884547).

12202222220221 is a wasteful number, since it uses less digits than its factorization.

12202222220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34981.

The product of its (nonzero) digits is 1024, while the sum is 22.

Multiplying 12202222220221 by its sum of digits (22), we get a palindrome (268448888844862).

It can be divided in two parts, 1220222 and 2220221, that added together give a palindrome (3440443).

The spelling of 12202222220221 in words is "twelve trillion, two hundred two billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 11 127 353 733 1397 3883 8063 33757 44831 93091 258749 371327 493141 1024001 2846239 4287139 11916221 24743881 32861123 47158529 131078431 272182691 361472353 1513360067 3142472887 8734589993 16646960737 34567201757 96080489923 1109292929111 12202222220221