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122220020102012 = 22719432148783557
BaseRepresentation
bin11011110010100010010000…
…111000011111001101111100
3121000202010020100021010102122
4123302202100320133031330
5112004423100121231022
61111535034020142112
734513051014535460
oct3362422070371574
9530663210233378
10122220020102012
1135a41246095148
121185b085537938
1353273b58a5801
1422276a283a4a0
15e1e353494742
hex6f2890e1f37c

122220020102012 has 144 divisors (see below), whose sum is σ = 263608617968640. Its totient is φ = 48435964004736.

The previous prime is 122220020101931. The next prime is 122220020102051. The reversal of 122220020102012 is 210201020022221.

It is a happy number.

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, 1462672538 + ... + 1462756094.

It is an arithmetic number, because the mean of its divisors is an integer number (1830615402560).

Almost surely, 2122220020102012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220020102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131804308984320).

122220020102012 is an abundant number, since it is smaller than the sum of its proper divisors (141388597866628).

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

122220020102012 is a wasteful number, since it uses less digits than its factorization.

122220020102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85160 (or 85115 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122220020102012 its reverse (210201020022221), we get a palindrome (332421040124233).

The spelling of 122220020102012 in words is "one hundred twenty-two trillion, two hundred twenty billion, twenty million, one hundred two thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1487 1634 1849 2974 3268 3698 5719 5948 7396 10409 11438 12943 20818 22876 25886 28253 35131 41636 51772 56506 63941 70262 83557 113012 127882 140524 167114 197771 245917 255764 334228 395542 447587 491834 584899 791084 895174 983668 1169798 1214879 1587583 1790348 2339596 2429758 2749463 3175166 3592951 4859516 5498926 6350332 7185902 8504153 10997852 11113081 14371804 17008306 19246241 22226162 25150657 34016612 38492482 44452324 50301314 52239797 68266069 76984964 100602628 104479594 124249259 136532138 154496893 208959188 248498518 273064276 308993786 365678579 477862483 496997036 617987572 731357158 869744813 955724966 1081478251 1462714316 1739489626 1911449932 2162956502 2360735921 2935440967 3478979252 4325913004 4721471842 5342718137 5870881934 9442943684 10685436274 11741763868 16525151447 20548086769 21370872548 33050302894 37399026959 41096173538 66100605788 74798053918 82192347076 101511644603 149596107836 203023289206 229736879891 406046578412 459473759782 710581512221 918947519564 1421163024442 1608158159237 2842326048884 3216316318474 4365000717929 6432632636948 8730001435858 17460002871716 30555005025503 61110010051006 122220020102012