Base | Representation |
---|---|
bin | 1110100110011… |
… | …00011011010000 |
3 | 22112110020012100 |
4 | 13103030123100 |
5 | 222323102034 |
6 | 20053000400 |
7 | 3014665434 |
oct | 723143320 |
9 | 275406170 |
10 | 122472144 |
11 | 63150153 |
12 | 35023100 |
13 | 1c4b1232 |
14 | 123a09c4 |
15 | ab43099 |
hex | 74cc6d0 |
122472144 has 60 divisors (see below), whose sum is σ = 346915296. Its totient is φ = 40328256.
The previous prime is 122472101. The next prime is 122472167. The reversal of 122472144 is 441274221.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 6829 + ... + 17075.
Almost surely, 2122472144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122472144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173457648).
122472144 is an abundant number, since it is smaller than the sum of its proper divisors (224443152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122472144 is a wasteful number, since it uses less digits than its factorization.
122472144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10344 (or 10335 counting only the distinct ones).
The product of its digits is 3584, while the sum is 27.
The square root of 122472144 is about 11066.7133332349. The cubic root of 122472144 is about 496.6065463816.
The spelling of 122472144 in words is "one hundred twenty-two million, four hundred seventy-two thousand, one hundred forty-four".
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