Search a number
-
+
122364121 = 1153209887
BaseRepresentation
bin1110100101100…
…10000011011001
322112020202000111
413102302003121
5222311122441
620050404321
73014035465
oct722620331
9275222014
10122364121
1163086a80
1234b906a1
131c474009
14123734a5
15ab21081
hex74b20d9

122364121 has 8 divisors (see below), whose sum is σ = 136007424. Its totient is φ = 109140720.

The previous prime is 122364101. The next prime is 122364149. The reversal of 122364121 is 121463221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122364121 - 27 = 122363993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122364092 and 122364101.

It is not an unprimeable number, because it can be changed into a prime (122364101) 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 7 ways as a sum of consecutive naturals, for example, 104361 + ... + 105526.

It is an arithmetic number, because the mean of its divisors is an integer number (17000928).

Almost surely, 2122364121 is an apocalyptic number.

122364121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122364121 is a deficient number, since it is larger than the sum of its proper divisors (13643303).

122364121 is a wasteful number, since it uses less digits than its factorization.

122364121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209951.

The product of its digits is 576, while the sum is 22.

The square root of 122364121 is about 11061.8317199278. The cubic root of 122364121 is about 496.4604976369.

The spelling of 122364121 in words is "one hundred twenty-two million, three hundred sixty-four thousand, one hundred twenty-one".

Divisors: 1 11 53 583 209887 2308757 11124011 122364121