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120011221212100 = 22523114338911967
BaseRepresentation
bin11011010010011001001010…
…001101011001101111000100
3120201220221221100110200010121
4123102121022031121233010
5111212230440112241400
61103124221030231324
734164344640002221
oct3322311215315704
9521827840420117
10120011221212100
113526a522762a19
1211562b8b1b5544
1351c701812764a
14218c807484948
15dd1b7983e21a
hex6d264a359bc4

120011221212100 has 72 divisors (see below), whose sum is σ = 261865132558848. Its totient is φ = 47739619468800.

The previous prime is 120011221212097. The next prime is 120011221212119. The reversal of 120011221212100 is 1212122110021.

120011221212100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9010317 + ... + 17922283.

It is an arithmetic number, because the mean of its divisors is an integer number (3637015729984).

Almost surely, 2120011221212100 is an apocalyptic number.

120011221212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011221212100 is an abundant number, since it is smaller than the sum of its proper divisors (141853911346748).

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

120011221212100 is a wasteful number, since it uses less digits than its factorization.

120011221212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912725 (or 8912718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120011221212100 its reverse (1212122110021), we get a palindrome (121223343322121).

The spelling of 120011221212100 in words is "one hundred twenty trillion, eleven billion, two hundred twenty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 311 433 622 866 1244 1555 1732 2165 3110 4330 6220 7775 8660 10825 15550 21650 31100 43300 134663 269326 538652 673315 1346630 2693260 3366575 6733150 8911967 13466300 17823934 35647868 44559835 89119670 178239340 222799175 445598350 891196700 2771621737 3858881711 5543243474 7717763422 11086486948 13858108685 15435526844 19294408555 27716217370 38588817110 55432434740 69290543425 77177634220 96472042775 138581086850 192944085550 277162173700 385888171100 1200112212121 2400224424242 4800448848484 6000561060605 12001122121210 24002244242420 30002805303025 60005610606050 120011221212100