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121221709296 = 24341611277951
BaseRepresentation
bin111000011100101100…
…0000111110111110000
3102120220011000212120220
41300321120013313300
53441230224144141
6131404413533040
711520662346042
oct1607130076760
9376804025526
10121221709296
1147456549426
121b5b0aa4180
13b57b33cc8c
145c1d6c7a92
15324737d766
hex1c39607df0

121221709296 has 160 divisors (see below), whose sum is σ = 328661630976. Its totient is φ = 38465280000.

The previous prime is 121221709261. The next prime is 121221709303. The reversal of 121221709296 is 692907122121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15242121 + ... + 15250071.

Almost surely, 2121221709296 is an apocalyptic number.

121221709296 is a gapful number since it is divisible by the number (16) 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 121221709296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164330815488).

121221709296 is an abundant number, since it is smaller than the sum of its proper divisors (207439921680).

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

121221709296 is a wasteful number, since it uses less digits than its factorization.

121221709296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191 (or 8185 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 121221709296 in words is "one hundred twenty-one billion, two hundred twenty-one million, seven hundred nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 61 82 122 123 127 164 183 244 246 254 328 366 381 488 492 508 656 732 762 976 984 1016 1464 1524 1968 2032 2501 2928 3048 5002 5207 6096 7503 7747 7951 10004 10414 15006 15494 15621 15902 20008 20828 23241 23853 30012 30988 31242 31804 40016 41656 46482 47706 60024 61976 62484 63608 83312 92964 95412 120048 123952 124968 127216 185928 190824 249936 317627 325991 371856 381648 485011 635254 651982 952881 970022 977973 1009777 1270508 1303964 1455033 1905762 1940044 1955946 2019554 2541016 2607928 2910066 3029331 3811524 3880088 3911892 4039108 5082032 5215856 5820132 6058662 7623048 7760176 7823784 8078216 11640264 12117324 15246096 15647568 16156432 19885451 23280528 24234648 39770902 41400857 48469296 59656353 61596397 79541804 82801714 119312706 123192794 124202571 159083608 165603428 184789191 238625412 246385588 248405142 318167216 331206856 369578382 477250824 492771176 496810284 662413712 739156764 954501648 985542352 993620568 1478313528 1987241136 2525452277 2956627056 5050904554 7576356831 10101809108 15152713662 20203618216 30305427324 40407236432 60610854648 121221709296