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12122122002221 = 7116717343131513
BaseRepresentation
bin1011000001100110011011…
…0001101001111100101101
31120220212022112011121002202
42300121212301221330231
53042102101213032341
641440454224231245
72360536324630220
oct260314661517455
946825275147082
1012122122002221
113953a65935670
12143942216b525
1369c15a3c966a
142dc9dca9b5b7
151604ce33779b
hexb0666c69f2d

12122122002221 has 64 divisors (see below), whose sum is σ = 15463815929856. Its totient is φ = 9229284979200.

The previous prime is 12122122002181. The next prime is 12122122002241. The reversal of 12122122002221 is 12220022122121.

It is a de Polignac number, because none of the positive numbers 2k-12122122002221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12122122002193 and 12122122002202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122122002241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384654761 + ... + 384686273.

It is an arithmetic number, because the mean of its divisors is an integer number (241622123904).

Almost surely, 212122122002221 is an apocalyptic number.

12122122002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122122002221 is a deficient number, since it is larger than the sum of its proper divisors (3341693927635).

12122122002221 is a wasteful number, since it uses less digits than its factorization.

12122122002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32202.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12122122002221 its reverse (12220022122121), we get a palindrome (24342144124342).

The spelling of 12122122002221 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, two thousand, two hundred twenty-one".

Divisors: 1 7 11 67 77 173 431 469 737 1211 1903 3017 4741 5159 11591 13321 28877 31513 33187 74563 81137 127501 202139 220591 317647 346643 521941 820193 892507 2111371 2223529 2426501 4995721 5451749 5741351 13582103 14779597 23225081 34970047 38162243 54952931 59969239 95074721 149403133 162575567 365267183 384670517 419784673 910000901 1045821931 2349703819 2556870281 4017939013 6370006307 10010009911 16447926733 25846742009 28125573091 70070069377 157430155873 180927194063 1102011091111 1731731714603 12122122002221