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122122221221 = 72111331896317
BaseRepresentation
bin111000110111100001…
…1010011011010100101
3102200012220111121201102
41301233003103122211
54000101242034341
6132034023005445
711552205516200
oct1615703233245
9380186447642
10122122221221
11478788a0360
121b802599885
13b692a85680
145ca7138937
15329b45bc9b
hex1c6f0d36a5

122122221221 has 96 divisors (see below), whose sum is σ = 174243363840. Its totient is φ = 84038169600.

The previous prime is 122122221161. The next prime is 122122221257.

122122221221 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-122122221221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122122221193 and 122122221202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122221281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19329155 + ... + 19335471.

It is an arithmetic number, because the mean of its divisors is an integer number (1815035040).

Almost surely, 2122122221221 is an apocalyptic number.

122122221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122122221221 is a deficient number, since it is larger than the sum of its proper divisors (52121142619).

122122221221 is a wasteful number, since it uses less digits than its factorization.

122122221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475 (or 6468 counting only the distinct ones).

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

It can be divided in two parts, 122122 and 221221, that added together give a palindrome (343343).

The spelling of 122122221221 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 31 49 77 89 91 143 217 341 403 539 623 637 979 1001 1157 1519 2387 2759 2821 4361 4433 6317 6853 7007 8099 12727 16709 19313 19747 30349 31031 35867 44219 47971 56693 69487 82121 89089 135191 195827 212443 217217 251069 309533 394537 486409 562213 574847 623623 903331 1370789 1487101 1757483 2154097 2545751 2761759 3404863 3935491 4023929 6184343 6323317 7308769 9595523 15078679 17428603 17820257 19332313 27548437 28003261 43290401 44263219 51161383 80396459 105550753 122000221 124741799 191714633 196022827 226571839 303032807 358129681 562775213 854001547 1342002431 1372159789 1586002873 2492290229 3939426491 9394017017 11102020111 17446031603 122122221221