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121022110020012 = 223174326475212093
BaseRepresentation
bin11011100001000110100111…
…111000001011000110101100
3120212111121012221002211222120
4123201012213320023012230
5111330311240131120022
61105220442333512540
734330362464046015
oct3341064770130654
9525447187084876
10121022110020012
113561a209080413
12116a6a8b942750
13526b44a288996
1421c5703ad600c
15ded0e1ecdd5c
hex6e11a7e0b1ac

121022110020012 has 96 divisors (see below), whose sum is σ = 306064834048512. Its totient is φ = 37070733321216.

The previous prime is 121022110020001. The next prime is 121022110020047. The reversal of 121022110020012 is 210020011220121.

It is a super-2 number, since 2×1210221100200122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121022110019973 and 121022110020000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20613438 + ... + 25825530.

It is an arithmetic number, because the mean of its divisors is an integer number (3188175354672).

Almost surely, 2121022110020012 is an apocalyptic number.

121022110020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121022110020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153032417024256).

121022110020012 is an abundant number, since it is smaller than the sum of its proper divisors (185042724028500).

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

121022110020012 is a wasteful number, since it uses less digits than its factorization.

121022110020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214807 (or 5214805 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121022110020012 its reverse (210020011220121), we get a palindrome (331042121240133).

The spelling of 121022110020012 in words is "one hundred twenty-one trillion, twenty-two billion, one hundred ten million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 2193 2647 2924 4386 5294 7941 8772 10588 15882 31764 44999 89998 113821 134997 179996 227642 269994 341463 455284 539988 682926 1365852 1934957 3869914 5212093 5804871 7739828 10424186 11609742 15636279 20848372 23219484 31272558 62545116 88605581 177211162 224119999 265816743 354422324 448239998 531633486 672359997 896479996 1063266972 1344719994 2689439988 3810039983 7620079966 11430119949 13796410171 15240159932 22860239898 27592820342 41389230513 45720479796 55185640684 82778461026 165556922052 234538972907 469077945814 593245637353 703616918721 938155891628 1186491274706 1407233837442 1779736912059 2372982549412 2814467674884 3559473824118 7118947648236 10085175835001 20170351670002 30255527505003 40340703340004 60511055010006 121022110020012