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122111020111 = 1723251308933
BaseRepresentation
bin111000110111001100…
…0100100110001001111
3102200012010102112200111
41301232120210301033
54000040410120421
6132032542540451
711552011354663
oct1615630446117
9380163375614
10122111020111
114787253a843
121b7ba897727
13b6906631b2
145ca58608a3
15329a497ee1
hex1c6e624c4f

122111020111 has 8 divisors (see below), whose sum is σ = 129300000624. Its totient is φ = 114922704000.

The previous prime is 122111020103. The next prime is 122111020159. The reversal of 122111020111 is 111020111221.

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 122111020111 - 23 = 122111020103 is a prime.

It is a super-2 number, since 2×1221110201112 (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 = 122111020091 and 122111020100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111020511) 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, 240801 + ... + 549733.

It is an arithmetic number, because the mean of its divisors is an integer number (16162500078).

Almost surely, 2122111020111 is an apocalyptic number.

122111020111 is a deficient number, since it is larger than the sum of its proper divisors (7188980513).

122111020111 is a wasteful number, since it uses less digits than its factorization.

122111020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332201.

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

Adding to 122111020111 its reverse (111020111221), we get a palindrome (233131131332).

The spelling of 122111020111 in words is "one hundred twenty-two billion, one hundred eleven million, twenty thousand, one hundred eleven".

Divisors: 1 17 23251 308933 395267 5251861 7183001183 122111020111