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120241224 = 23321670017
BaseRepresentation
bin1110010101010…
…11110001001000
322101020212221200
413022223301020
5221240204344
615533104200
72660014335
oct712536110
9271225850
10120241224
1161967014
1234328060
131bbac96c
1411d7d98c
15a852069
hex72abc48

120241224 has 24 divisors (see below), whose sum is σ = 325653510. Its totient is φ = 40080384.

The previous prime is 120241213. The next prime is 120241229. The reversal of 120241224 is 422142021.

It can be written as a sum of positive squares in only one way, i.e., 119902500 + 338724 = 10950^2 + 582^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120241197 and 120241206.

It is not an unprimeable number, because it can be changed into a prime (120241229) 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 5 ways as a sum of consecutive naturals, for example, 834937 + ... + 835080.

Almost surely, 2120241224 is an apocalyptic number.

It is an amenable number.

120241224 is an abundant number, since it is smaller than the sum of its proper divisors (205412286).

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

120241224 is a wasteful number, since it uses less digits than its factorization.

120241224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670029 (or 1670022 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 120241224 is about 10965.4559412730. The cubic root of 120241224 is about 493.5726989533.

Adding to 120241224 its reverse (422142021), we get a palindrome (542383245).

The spelling of 120241224 in words is "one hundred twenty million, two hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1670017 3340034 5010051 6680068 10020102 13360136 15030153 20040204 30060306 40080408 60120612 120241224