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121988650474900 = 225211891916523841
BaseRepresentation
bin11011101111001010110010…
…001011011001110110010100
3120222221000000210111021101001
4123233022302023121312110
5111442130224010144100
61111240451250113044
734460250323260606
oct3357126213316624
9528830023437331
10121988650474900
1135962106a56890
121182227427b784
13530b632518701
14221a3d4467176
15e18311050d6a
hex6ef2b22d9d94

121988650474900 has 144 divisors (see below), whose sum is σ = 293554101335040. Its totient is φ = 43631441920000.

The previous prime is 121988650474877. The next prime is 121988650474909. The reversal of 121988650474900 is 9474056889121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121988650474909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15436980 + ... + 21960820.

It is an arithmetic number, because the mean of its divisors is an integer number (2038570148160).

Almost surely, 2121988650474900 is an apocalyptic number.

121988650474900 is a gapful number since it is divisible by the number (10) 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 121988650474900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146777050667520).

121988650474900 is an abundant number, since it is smaller than the sum of its proper divisors (171565450860140).

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

121988650474900 is a wasteful number, since it uses less digits than its factorization.

121988650474900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524146 (or 6524139 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

The spelling of 121988650474900 in words is "one hundred twenty-one trillion, nine hundred eighty-eight billion, six hundred fifty million, four hundred seventy-four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 191 220 275 356 382 445 550 764 890 955 979 1100 1780 1910 1958 2101 2225 3820 3916 4202 4450 4775 4895 8404 8900 9550 9790 10505 16999 19100 19580 21010 24475 33998 42020 48950 52525 67996 84995 97900 105050 169990 186989 210100 339980 373978 424975 747956 849950 934945 1699900 1869890 3739780 4674725 6523841 9349450 13047682 18698900 26095364 32619205 65238410 71762251 130476820 143524502 163096025 287049004 326192050 358811255 580621849 652384100 717622510 1161243698 1246053631 1435245020 1794056275 2322487396 2492107262 2903109245 3588112550 4984214524 5806218490 6230268155 6386840339 7176225100 11612436980 12460536310 12773680678 13706589941 14515546225 24921072620 25547361356 27413179882 29031092450 31151340775 31934201695 54826359764 58062184900 62302681550 63868403390 68532949705 110898773159 124605363100 127736806780 137065899410 159671008475 221797546318 274131798820 319342016950 342664748525 443595092636 554493865795 638684033900 685329497050 1108987731590 1219886504749 1370658994100 2217975463180 2439773009498 2772469328975 4879546018996 5544938657950 6099432523745 11089877315900 12198865047490 24397730094980 30497162618725 60994325237450 121988650474900