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121299734808 = 23327272747293
BaseRepresentation
bin111000011111000000…
…1110001000100011000
3102121002120211222110200
41300332001301010120
53441410213003213
6131420242142200
711522630506500
oct1607601610430
9377076758420
10121299734808
11474965a111a
121b613051960
13b59155b715
145c29bd8a00
15324e142273
hex1c3e071118

121299734808 has 144 divisors (see below), whose sum is σ = 382689805680. Its totient is φ = 34608663936.

The previous prime is 121299734761. The next prime is 121299734827. The reversal of 121299734808 is 808437992121.

121299734808 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 99 + 73 + 480 + 8 = 666.

It is a super-2 number, since 2×1212997348082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2541210 + ... + 2588502.

It is an arithmetic number, because the mean of its divisors is an integer number (2657568095).

Almost surely, 2121299734808 is an apocalyptic number.

121299734808 is a gapful number since it is divisible by the number (18) 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 121299734808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191344902840).

121299734808 is an abundant number, since it is smaller than the sum of its proper divisors (261390070872).

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

121299734808 is a wasteful number, since it uses less digits than its factorization.

121299734808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48046 (or 48032 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 121299734808 in words is "one hundred twenty-one billion, two hundred ninety-nine million, seven hundred thirty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 727 882 1176 1454 1764 2181 2908 3528 4362 5089 5816 6543 8724 10178 13086 15267 17448 20356 26172 30534 35623 40712 45801 47293 52344 61068 71246 91602 94586 106869 122136 141879 142492 183204 189172 213738 283758 284984 320607 331051 366408 378344 425637 427476 567516 641214 662102 851274 854952 993153 1135032 1282428 1324204 1702548 1986306 2317357 2564856 2648408 2979459 3405096 3972612 4634714 5958918 6952071 7945224 9269428 11917836 13904142 18538856 20856213 23835672 27808284 34382011 41712426 55616568 68764022 83424852 103146033 137528044 166849704 206292066 240674077 275056088 309438099 412584132 481348154 618876198 722022231 825168264 962696308 1237752396 1444044462 1684718539 1925392616 2166066693 2475504792 2888088924 3369437078 4332133386 5054155617 5776177848 6738874156 8664266772 10108311234 13477748312 15162466851 17328533544 20216622468 30324933702 40433244936 60649867404 121299734808