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112121212 = 2273711151
BaseRepresentation
bin1101010111011…
…01010101111100
321210222100101111
412223231111330
5212200334322
615043051404
72531005000
oct653552574
9253870344
10112121212
1158320365
1231670b64
131a2c8a18
1410c68700
159c9b177
hex6aed57c

112121212 has 48 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 47334000.

The previous prime is 112121209. The next prime is 112121213. The reversal of 112121212 is 212121211.

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

112121212 is a modest number, since divided by 121212 gives 112 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 112121192 and 112121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121213) 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, 96837 + ... + 97987.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2112121212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

112121212 is an abundant number, since it is smaller than the sum of its proper divisors (120121988).

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

112121212 is a wasteful number, since it uses less digits than its factorization.

112121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1231 counting only the distinct ones).

The product of its digits is 16, while the sum is 13.

The square root of 112121212 is about 10588.7304243710. The cubic root of 112121212 is about 482.2022819056.

Adding to 112121212 its reverse (212121211), we get a palindrome (324242423).

Subtracting 112121212 from its reverse (212121211), we obtain a palindrome (99999999).

It can be divided in two parts, 11 and 2121212, that multiplied together give a palindrome (23333332).

The spelling of 112121212 in words is "one hundred twelve million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 343 497 686 994 1151 1372 1988 2302 3479 4604 6958 8057 13916 16114 24353 32228 48706 56399 81721 97412 112798 163442 225596 326884 394793 572047 789586 1144094 1579172 2288188 4004329 8008658 16017316 28030303 56060606 112121212