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121305681216 = 263370200047
BaseRepresentation
bin111000011111001100…
…0011100110101000000
3102121010000001002102000
41300332120130311000
53441413223244331
6131421013424000
711523032164116
oct1607630346500
9377100032360
10121305681216
1147499992805
121b61503b000
13b5928611c5
145c2a905ab6
15324e9190e6
hex1c3e61cd40

121305681216 has 56 divisors (see below), whose sum is σ = 356616243840. Its totient is φ = 40435226496.

The previous prime is 121305681209. The next prime is 121305681239. The reversal of 121305681216 is 612186503121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35098296 + ... + 35101751.

Almost surely, 2121305681216 is an apocalyptic number.

121305681216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121305681216 is an abundant number, since it is smaller than the sum of its proper divisors (235310562624).

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

121305681216 is an equidigital number, since it uses as much as digits as its factorization.

121305681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70200068 (or 70200052 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 121305681216 in words is "one hundred twenty-one billion, three hundred five million, six hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 70200047 140400094 210600141 280800188 421200282 561600376 631800423 842400564 1123200752 1263600846 1684801128 1895401269 2246401504 2527201692 3369602256 3790802538 4492803008 5054403384 6739204512 7581605076 10108806768 13478409024 15163210152 20217613536 30326420304 40435227072 60652840608 121305681216