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121112001 = 3289151201
BaseRepresentation
bin1110011100000…
…00010111000001
322102220010102200
413032000113001
5222001041001
620003503413
73000302133
oct716002701
9272803380
10121112001
116240126a
1234687b69
131c12610a
1412129053
15a975086
hex73805c1

121112001 has 12 divisors (see below), whose sum is σ = 176906340. Its totient is φ = 79833600.

The previous prime is 121111999. The next prime is 121112011. The reversal of 121112001 is 100211121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20711601 + 100400400 = 4551^2 + 10020^2 .

It is not a de Polignac number, because 121112001 - 21 = 121111999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121112011) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 74800 + ... + 76401.

It is an arithmetic number, because the mean of its divisors is an integer number (14742195).

Almost surely, 2121112001 is an apocalyptic number.

It is an amenable number.

121112001 is a deficient number, since it is larger than the sum of its proper divisors (55794339).

121112001 is a wasteful number, since it uses less digits than its factorization.

121112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151296 (or 151293 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 121112001 is about 11005.0897770077. The cubic root of 121112001 is about 494.7613051803.

Adding to 121112001 its reverse (100211121), we get a palindrome (221323122).

The spelling of 121112001 in words is "one hundred twenty-one million, one hundred twelve thousand, one".

Divisors: 1 3 9 89 267 801 151201 453603 1360809 13456889 40370667 121112001