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120021122112122 = 27112698243351479
BaseRepresentation
bin11011010010100010011000…
…010110010101101001111010
3120201221220111100202111122102
4123102202120112111221322
5111212411224230041442
61103132535313023402
734165145202161030
oct3322423026255172
9521856440674572
10120021122112122
1135273743540720
1211564a92b54b62
1351c7c35427b7a
14218d0a63ac550
15dd2058b74232
hex6d2898595a7a

120021122112122 has 64 divisors (see below), whose sum is σ = 225317463091200. Its totient is φ = 46581857350080.

The previous prime is 120021122112103. The next prime is 120021122112131. The reversal of 120021122112122 is 221211221120021.

It is a junction number, because it is equal to n+sod(n) for n = 120021122112094 and 120021122112103.

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 31 ways as a sum of consecutive naturals, for example, 341298779 + ... + 341650257.

It is an arithmetic number, because the mean of its divisors is an integer number (3520585360800).

Almost surely, 2120021122112122 is an apocalyptic number.

120021122112122 is a deficient number, since it is larger than the sum of its proper divisors (105296340979078).

120021122112122 is a wasteful number, since it uses less digits than its factorization.

120021122112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360011.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 120021122112122 its reverse (221211221120021), we get a palindrome (341232343232143).

The spelling of 120021122112122 in words is "one hundred twenty trillion, twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 77 154 269 538 1883 2959 3766 5918 8243 16486 20713 41426 57701 90673 115402 181346 351479 634711 702958 1269422 2217367 2460353 3866269 4434734 4920706 7732538 15521569 24391037 27063883 31043138 48782074 54127766 94547851 170737259 189095702 341474518 661834957 1040026361 1323669914 2080052722 2897241397 5794482794 7280184527 14560369054 20280689779 31869655367 40561379558 63739310734 223087587569 446175175138 779357935793 1558715871586 5455505550551 8572937293723 10911011101102 17145874587446 60010561056061 120021122112122