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122120002112 = 2617112242649
BaseRepresentation
bin111000110111011101…
…0110101101001000000
3102200012202022212200012
41301232322311221000
54000100210031422
6132033503244052
711552150614403
oct1615672655100
9380182285605
10122120002112
1147877615089
121b8018a9628
13b6924895a4
145ca6b1bd3a
15329b16e4e2
hex1c6eeb5a40

122120002112 has 28 divisors (see below), whose sum is σ = 256586697900. Its totient is φ = 57468235776.

The previous prime is 122120002091. The next prime is 122120002187. The reversal of 122120002112 is 211200021221.

It can be written as a sum of positive squares in 2 ways, for example, as 42875500096 + 79244502016 = 207064^2 + 281504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56120237 + ... + 56122412.

Almost surely, 2122120002112 is an apocalyptic number.

It is an amenable number.

122120002112 is an abundant number, since it is smaller than the sum of its proper divisors (134466695788).

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

122120002112 is a wasteful number, since it uses less digits than its factorization.

122120002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112242678 (or 112242668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122120002112 its reverse (211200021221), we get a palindrome (333320023333).

The spelling of 122120002112 in words is "one hundred twenty-two billion, one hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 112242649 224485298 448970596 897941192 1795882384 1908125033 3591764768 3816250066 7183529536 7632500132 15265000264 30530000528 61060001056 122120002112