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112211121112122 = 23173135487388081
BaseRepresentation
bin11001100000111000110000…
…000000111000010000111010
3112201022021111222000100102010
4121200320300000320100322
5104201431334001041442
61034353024414550350
732430662121050214
oct3140706000702072
9481267458010363
10112211121112122
113283251859132a
12107033255083b6
134a7c603ba54c6
141d9d0938ab5b4
15ce8d07178b9c
hex660e3003843a

112211121112122 has 32 divisors (see below), whose sum is σ = 245288826422784. Its totient is φ = 34067892556800.

The previous prime is 112211121112063. The next prime is 112211121112127. The reversal of 112211121112122 is 221211121112211.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112211121112127) 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 15 ways as a sum of consecutive naturals, for example, 17743690879 + ... + 17743697202.

It is an arithmetic number, because the mean of its divisors is an integer number (7665275825712).

Almost surely, 2112211121112122 is an apocalyptic number.

112211121112122 is an abundant number, since it is smaller than the sum of its proper divisors (133077705310662).

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

112211121112122 is a wasteful number, since it uses less digits than its factorization.

112211121112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35487388134.

The product of its digits is 64, while the sum is 21.

Adding to 112211121112122 its reverse (221211121112211), we get a palindrome (333422242224333).

The spelling of 112211121112122 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 527 1054 1581 3162 35487388081 70974776162 106462164243 212924328486 603285597377 1100109030511 1206571194754 1809856792131 2200218061022 3300327091533 3619713584262 6600654183066 18701853518687 37403707037374 56105560556061 112211121112122