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121122112 = 261999607
BaseRepresentation
bin1110011100000…
…10110101000000
322102220122022011
413032002311000
5222001401422
620004022304
73000343456
oct716026500
9272818264
10121122112
1162408921
1234691994
131c12a8b7
141212c9d6
15a978077
hex7382d40

121122112 has 28 divisors (see below), whose sum is σ = 253004320. Its totient is φ = 57373056.

The previous prime is 121122107. The next prime is 121122139. The reversal of 121122112 is 211221121.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121122092 and 121122101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48588 + ... + 51019.

Almost surely, 2121122112 is an apocalyptic number.

It is an amenable number.

121122112 is an abundant number, since it is smaller than the sum of its proper divisors (131882208).

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

121122112 is an equidigital number, since it uses as much as digits as its factorization.

121122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99638 (or 99628 counting only the distinct ones).

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

The square root of 121122112 is about 11005.5491457719. The cubic root of 121122112 is about 494.7750731315.

Adding to 121122112 its reverse (211221121), we get a palindrome (332343233).

Subtracting 121122112 from its reverse (211221121), we obtain a palindrome (90099009).

The spelling of 121122112 in words is "one hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 99607 199214 398428 796856 1593712 1892533 3187424 3785066 6374848 7570132 15140264 30280528 60561056 121122112