Base | Representation |
---|---|
bin | 1110100011000… |
… | …10111101010000 |
3 | 22111122021121100 |
4 | 13101202331100 |
5 | 222220241034 |
6 | 20035424400 |
7 | 3011216112 |
oct | 721427520 |
9 | 274567540 |
10 | 122040144 |
11 | 62985626 |
12 | 34a55100 |
13 | 1c38c705 |
14 | 122cb3b2 |
15 | aaaa099 |
hex | 7462f50 |
122040144 has 60 divisors (see below), whose sum is σ = 361640916. Its totient is φ = 38286336.
The previous prime is 122040137. The next prime is 122040157. The reversal of 122040144 is 441040221.
122040144 is a `hidden beast` number, since 1 + 220 + 401 + 44 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 56430144 + 65610000 = 7512^2 + 8100^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
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, 22479 + ... + 27374.
Almost surely, 2122040144 is an apocalyptic number.
It is an amenable number.
122040144 is an abundant number, since it is smaller than the sum of its proper divisors (239600772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122040144 is a wasteful number, since it uses less digits than its factorization.
122040144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49884 (or 49875 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 122040144 is about 11047.1781012166. The cubic root of 122040144 is about 496.0219596590.
Adding to 122040144 its reverse (441040221), we get a palindrome (563080365).
The spelling of 122040144 in words is "one hundred twenty-two million, forty thousand, one hundred forty-four".
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