Search a number
-
+
122066127 = 32193123027
BaseRepresentation
bin1110100011010…
…01010011001111
322111200121020200
413101221103033
5222222104002
620040144543
73011354631
oct721512317
9274617220
10122066127
11629a30a7
1234a68153
131c39b4a1
14122d6a51
15aab2b1c
hex74694cf

122066127 has 24 divisors (see below), whose sum is σ = 191592960. Its totient is φ = 74604240.

The previous prime is 122066123. The next prime is 122066159. The reversal of 122066127 is 721660221.

It is not a de Polignac number, because 122066127 - 22 = 122066123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122066127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122066123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6213 + ... + 16814.

It is an arithmetic number, because the mean of its divisors is an integer number (7983040).

Almost surely, 2122066127 is an apocalyptic number.

122066127 is a deficient number, since it is larger than the sum of its proper divisors (69526833).

122066127 is a wasteful number, since it uses less digits than its factorization.

122066127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23083 (or 23080 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 122066127 is about 11048.3540403084. The cubic root of 122066127 is about 496.0571590713.

The spelling of 122066127 in words is "one hundred twenty-two million, sixty-six thousand, one hundred twenty-seven".

Divisors: 1 3 9 19 31 57 93 171 279 589 1767 5301 23027 69081 207243 437513 713837 1312539 2141511 3937617 6424533 13562903 40688709 122066127