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120010221312 = 283156263309
BaseRepresentation
bin110111111000100101…
…0101010011100000000
3102110202201101220111120
41233301022222130000
53431240104040222
6131044255312240
711445652023102
oct1576112523400
9373681356446
10120010221312
1146994706593
121b31321b680
13b417355897
145b46847572
1531c5d2415c
hex1bf12aa700

120010221312 has 36 divisors (see below), whose sum is σ = 319402205640. Its totient is φ = 40003406848.

The previous prime is 120010221301. The next prime is 120010221319. The reversal of 120010221312 is 213122010021.

It is a junction number, because it is equal to n+sod(n) for n = 120010221291 and 120010221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010221319) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 78130887 + ... + 78132422.

It is an arithmetic number, because the mean of its divisors is an integer number (8872283490).

Almost surely, 2120010221312 is an apocalyptic number.

120010221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120010221312 is an abundant number, since it is smaller than the sum of its proper divisors (199391984328).

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

120010221312 is an equidigital number, since it uses as much as digits as its factorization.

120010221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156263328 (or 156263314 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120010221312 its reverse (213122010021), we get a palindrome (333132231333).

The spelling of 120010221312 in words is "one hundred twenty billion, ten million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 156263309 312526618 468789927 625053236 937579854 1250106472 1875159708 2500212944 3750319416 5000425888 7500638832 10000851776 15001277664 20001703552 30002555328 40003407104 60005110656 120010221312