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121110120096 = 2537225746199
BaseRepresentation
bin111000011001010111…
…0011100011010100000
3102120121101001112222120
41300302232130122200
53441013142320341
6131345350104240
711515136015100
oct1606256343240
9376541045876
10121110120096
11473a9561849
121b57b64b080
13b56119c474
145c0c95b200
15323c68a066
hex1c32b9c6a0

121110120096 has 72 divisors (see below), whose sum is σ = 369818416800. Its totient is φ = 34602890112.

The previous prime is 121110120091. The next prime is 121110120097. The reversal of 121110120096 is 690021011121.

It is a happy number.

It is a super-2 number, since 2×1211101200962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (121110120091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12868396 + ... + 12877803.

It is an arithmetic number, because the mean of its divisors is an integer number (5136366900).

Almost surely, 2121110120096 is an apocalyptic number.

121110120096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121110120096 is an abundant number, since it is smaller than the sum of its proper divisors (248708296704).

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

121110120096 is a wasteful number, since it uses less digits than its factorization.

121110120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25746226 (or 25746211 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 121110120096 in words is "one hundred twenty-one billion, one hundred ten million, one hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 25746199 51492398 77238597 102984796 154477194 180223393 205969592 308954388 360446786 411939184 540670179 617908776 720893572 823878368 1081340358 1235817552 1261563751 1441787144 2162680716 2471635104 2523127502 2883574288 3784691253 4325361432 5046255004 5767148576 7569382506 8650722864 10092510008 15138765012 17301445728 20185020016 30277530024 40370040032 60555060048 121110120096