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121222020120120 = 233252671126068077
BaseRepresentation
bin11011100100000000110011…
…011100101011111000111000
3120220012201020000020011000100
4123210000303130223320320
5111342100144122320440
61105452343253035400
734351000443625143
oct3344006334537070
9526181200204010
10121222020120120
1135696a74119487
1211719781325b60
135284258a8c64a
1421d1269c9505a
15e033e25e6230
hex6e403372be38

121222020120120 has 96 divisors (see below), whose sum is σ = 394119068166720. Its totient is φ = 32313769240320.

The previous prime is 121222020120053. The next prime is 121222020120133. The reversal of 121222020120120 is 21021020222121.

It is a happy number.

121222020120120 is a `hidden beast` number, since 1 + 21 + 2 + 220 + 201 + 201 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121222020120093 and 121222020120102.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 62072479 + ... + 63995598.

It is an arithmetic number, because the mean of its divisors is an integer number (4105406960070).

Almost surely, 2121222020120120 is an apocalyptic number.

121222020120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121222020120120 is an abundant number, since it is smaller than the sum of its proper divisors (272897048046600).

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

121222020120120 is a wasteful number, since it uses less digits than its factorization.

121222020120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126070765 (or 126070758 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121222020120120 its reverse (21021020222121), we get a palindrome (142243040342241).

The spelling of 121222020120120 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2671 5342 8013 10684 13355 16026 21368 24039 26710 32052 40065 48078 53420 64104 80130 96156 106840 120195 160260 192312 240390 320520 480780 961560 126068077 252136154 378204231 504272308 630340385 756408462 1008544616 1134612693 1260680770 1512816924 1891021155 2269225386 2521361540 3025633848 3782042310 4538450772 5042723080 5673063465 7564084620 9076901544 11346126930 15128169240 22692253860 45384507720 336727833667 673455667334 1010183501001 1346911334668 1683639168335 2020367002002 2693822669336 3030550503003 3367278336670 4040734004004 5050917505005 6061101006006 6734556673340 8081468008008 10101835010010 12122202012012 13469113346680 15152752515015 20203670020020 24244404024024 30305505030030 40407340040040 60611010060060 121222020120120