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121059460096 = 2108321312
BaseRepresentation
bin111000010111110110…
…1001100010000000000
3102120110211201202112021
41300233231030100000
53440412210210341
6131340340211224
711513652301231
oct1605755142000
9376424652467
10121059460096
1147382a00183
121b566699b14
13b553842833
145c05d31088
153237ece9d1
hex1c2fb4c400

121059460096 has 99 divisors (see below), whose sum is σ = 246835630183. Its totient is φ = 59343964160.

The previous prime is 121059460069. The next prime is 121059460103. The reversal of 121059460096 is 690064950121.

The square root of 121059460096 is 347936.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 924117951 + ... + 924118081.

Almost surely, 2121059460096 is an apocalyptic number.

121059460096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121059460096 is the 347936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121059460096

121059460096 is an abundant number, since it is smaller than the sum of its proper divisors (125776170087).

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

121059460096 is an frugal number, since it uses more digits than its factorization.

121059460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 121059460096 in words is "one hundred twenty-one billion, fifty-nine million, four hundred sixty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 83 128 131 166 256 262 332 512 524 664 1024 1048 1328 2096 2656 4192 5312 6889 8384 10624 10873 13778 16768 17161 21248 21746 27556 33536 34322 42496 43492 55112 67072 68644 84992 86984 110224 134144 137288 173968 220448 274576 347936 440896 549152 695872 881792 902459 1098304 1391744 1424363 1763584 1804918 2196608 2783488 2848726 3527168 3609836 4393216 5566976 5697452 7054336 7219672 8786432 11133952 11394904 14439344 17572864 22789808 28878688 45579616 57757376 91159232 115514752 118222129 182318464 231029504 236444258 364636928 462059008 472888516 729273856 924118016 945777032 1458547712 1891554064 3783108128 7566216256 15132432512 30264865024 60529730048 121059460096