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121727007 = 3229676961
BaseRepresentation
bin1110100000101…
…10100000011111
322111001101001200
413100112200133
5222130231012
620025010543
73005443143
oct720264037
9274041050
10121727007
1162791336
1234923a53
131c2b001c
1412249223
15aa473dc
hex741681f

121727007 has 24 divisors (see below), whose sum is σ = 184632240. Its totient is φ = 77172480.

The previous prime is 121726963. The next prime is 121727027. The reversal of 121727007 is 700727121.

It is not a de Polignac number, because 121727007 - 28 = 121726751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121727027) 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 23 ways as a sum of consecutive naturals, for example, 14007 + ... + 20967.

It is an arithmetic number, because the mean of its divisors is an integer number (7693010).

Almost surely, 2121727007 is an apocalyptic number.

121727007 is a deficient number, since it is larger than the sum of its proper divisors (62905233).

121727007 is a wasteful number, since it uses less digits than its factorization.

121727007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 121727007 is about 11032.9962838750. The cubic root of 121727007 is about 495.5973565786.

It can be divided in two parts, 1217 and 27007, that added together give a square (28224 = 1682).

The spelling of 121727007 in words is "one hundred twenty-one million, seven hundred twenty-seven thousand, seven".

Divisors: 1 3 9 29 67 87 201 261 603 1943 5829 6961 17487 20883 62649 201869 466387 605607 1399161 1816821 4197483 13525223 40575669 121727007