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121122110000 = 245417712483
BaseRepresentation
bin111000011001101110…
…0001011101000110000
3102120122012121201001002
41300303130023220300
53441024230010000
6131350455101132
711515342643063
oct1606334135060
9376565551032
10121122110000
1147405300a61
121b5836717a8
13b563809998
145c1039c8da
15323d7578d5
hex1c3370ba30

121122110000 has 100 divisors (see below), whose sum is σ = 310499102232. Its totient is φ = 45598848000.

The previous prime is 121122109991. The next prime is 121122110027. The reversal of 121122110000 is 11221121.

121122110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 186242 + ... + 526241.

Almost surely, 2121122110000 is an apocalyptic number.

121122110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122110000 is an abundant number, since it is smaller than the sum of its proper divisors (189376992232).

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

121122110000 is an equidigital number, since it uses as much as digits as its factorization.

121122110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712528 (or 712507 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121122110000 its reverse (11221121), we get a palindrome (121133331121).

It can be divided in two parts, 1211221 and 10000, that added together give a palindrome (1221221).

The spelling of 121122110000 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 17000 21250 34000 42500 85000 170000 712483 1424966 2849932 3562415 5699864 7124830 11399728 12112211 14249660 17812075 24224422 28499320 35624150 48448844 56998640 60561055 71248300 89060375 96897688 121122110 142496600 178120750 193795376 242244220 284993200 302805275 356241500 445301875 484488440 605610550 712483000 890603750 968976880 1211221100 1424966000 1514026375 1781207500 2422442200 3028052750 3562415000 4844884400 6056105500 7124830000 7570131875 12112211000 15140263750 24224422000 30280527500 60561055000 121122110000