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122260366014 = 23192831733931
BaseRepresentation
bin111000111011101001…
…0010010001010111110
3102200120112110002202020
41301313102102022332
54000342123203024
6132055435541010
711555503651533
oct1616722221276
9380515402666
10122260366014
1147939875606
121b8408ba766
13b6b5593457
145cbb618d8a
1532a8648979
hex1c774922be

122260366014 has 96 divisors (see below), whose sum is σ = 262753352064. Its totient is φ = 37913244480.

The previous prime is 122260365989. The next prime is 122260366021. The reversal of 122260366014 is 410663062221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31099629 + ... + 31103559.

It is an arithmetic number, because the mean of its divisors is an integer number (2737014084).

Almost surely, 2122260366014 is an apocalyptic number.

122260366014 is an abundant number, since it is smaller than the sum of its proper divisors (140492986050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122260366014 is a wasteful number, since it uses less digits than its factorization.

122260366014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 122260366014 in words is "one hundred twenty-two billion, two hundred sixty million, three hundred sixty-six thousand, fourteen".

Divisors: 1 2 3 6 19 38 57 83 114 166 173 249 346 361 498 519 722 1038 1083 1577 2166 3154 3287 3931 4731 6574 7862 9462 9861 11793 14359 19722 23586 28718 29963 43077 59926 62453 74689 86154 89889 124906 149378 179778 187359 224067 272821 326273 374718 448134 545642 652546 680063 818463 978819 1360126 1419091 1636926 1957638 2040189 2838182 4080378 4257273 5183599 6199187 8514546 10367198 12398374 12921197 15550797 18597561 25842394 31101594 37195122 38763591 56445229 77527182 112890458 117784553 169335687 235569106 245502743 338671374 353353659 491005486 706707318 736508229 1072459351 1473016458 2144918702 3217378053 6434756106 20376727669 40753455338 61130183007 122260366014