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122112011011 = 1099371119549
BaseRepresentation
bin111000110111001110…
…0010110101100000011
3102200012012021212221111
41301232130112230003
54000041133323021
6132033020104151
711552022652624
oct1615634265403
9380165255844
10122112011011
1147873057271
121b7bb095057
13b69091c223
145ca5a3ba4b
15329a5e18e1
hex1c6e716b03

122112011011 has 8 divisors (see below), whose sum is σ = 123246486000. Its totient is φ = 120977794080.

The previous prime is 122112011003. The next prime is 122112011017. The reversal of 122112011011 is 110110211221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122112011011 - 23 = 122112011003 is a prime.

It is a super-2 number, since 2×1221120110112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122112010982 and 122112011000.

It is not an unprimeable number, because it can be changed into a prime (122112011017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 961665 + ... + 1081213.

It is an arithmetic number, because the mean of its divisors is an integer number (15405810750).

Almost surely, 2122112011011 is an apocalyptic number.

122112011011 is a deficient number, since it is larger than the sum of its proper divisors (1134474989).

122112011011 is a wasteful number, since it uses less digits than its factorization.

122112011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129029.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122112011011 its reverse (110110211221), we get a palindrome (232222222232).

The spelling of 122112011011 in words is "one hundred twenty-two billion, one hundred twelve million, eleven thousand, eleven".

Divisors: 1 109 9371 119549 1021439 13030841 1120293679 122112011011