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121332128 = 2517223037
BaseRepresentation
bin1110011101101…
…10000110100000
322110022022101112
413032312012200
5222030112003
620012322452
73002206661
oct716660640
9273268345
10121332128
1162541695
1234773428
131c1a2378
1412185368
15a9ba3d8
hex73b61a0

121332128 has 24 divisors (see below), whose sum is σ = 252925092. Its totient is φ = 57097216.

The previous prime is 121332121. The next prime is 121332191. The reversal of 121332128 is 821233121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 120736144 + 595984 = 10988^2 + 772^2 .

It is not an unprimeable number, because it can be changed into a prime (121332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110975 + ... + 112062.

Almost surely, 2121332128 is an apocalyptic number.

It is an amenable number.

121332128 is an abundant number, since it is smaller than the sum of its proper divisors (131592964).

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

121332128 is a wasteful number, since it uses less digits than its factorization.

121332128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223064 (or 223056 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 121332128 is about 11015.0863818674. The cubic root of 121332128 is about 495.0608747363.

Adding to 121332128 its reverse (821233121), we get a palindrome (942565249).

The spelling of 121332128 in words is "one hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 223037 446074 892148 1784296 3568592 3791629 7137184 7583258 15166516 30333032 60666064 121332128