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121220022066 = 2311132338915791
BaseRepresentation
bin111000011100101000…
…1101011111100110010
3102120220000212011010220
41300321101223330302
53441224311201231
6131404313433510
711520642121023
oct1607121537462
9376800764126
10121220022066
11474555a6820
121b5b040b896
13b57ab9c010
145c1d3a8c4a
153247148896
hex1c3946bf32

121220022066 has 128 divisors (see below), whose sum is σ = 297991249920. Its totient is φ = 32348025600.

The previous prime is 121220021999. The next prime is 121220022067. The reversal of 121220022066 is 660220022121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121220022067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7668631 + ... + 7684421.

It is an arithmetic number, because the mean of its divisors is an integer number (2328056640).

Almost surely, 2121220022066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220022066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148995624960).

121220022066 is an abundant number, since it is smaller than the sum of its proper divisors (176771227854).

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

121220022066 is a wasteful number, since it uses less digits than its factorization.

121220022066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16232.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121220022066 its reverse (660220022121), we get a palindrome (781440044187).

The spelling of 121220022066 in words is "one hundred twenty-one billion, two hundred twenty million, twenty-two thousand, sixty-six".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 389 429 506 598 759 778 858 897 1167 1518 1794 2334 3289 4279 5057 6578 8558 8947 9867 10114 12837 15171 15791 17894 19734 25674 26841 30342 31582 47373 53682 55627 94746 98417 111254 116311 166881 173701 196834 205283 232622 295251 333762 347402 348933 363193 410566 521103 590502 615849 697866 726386 1042206 1089579 1231698 1279421 2179158 2258113 2558842 3838263 3995123 4516226 4721509 6142699 6774339 7676526 7990246 9443018 11985369 12285398 13548678 14164527 18428097 23970738 28329054 36856194 51936599 67569689 79855087 103873198 135139378 141282077 155809797 159710174 202709067 239565261 282564154 311619594 405418134 423846231 479130522 847692462 878405957 1554102847 1756811914 1836667001 2635217871 3108205694 3673334002 4662308541 5270435742 5510001003 9324617082 11020002006 20203337011 40406674022 60610011033 121220022066