Base | Representation |
---|---|
bin | 1110100101110… |
… | …11000011110000 |
3 | 22112022121121200 |
4 | 13102323003300 |
5 | 222313313013 |
6 | 20051251200 |
7 | 3014251152 |
oct | 722730360 |
9 | 275277550 |
10 | 122401008 |
11 | 63101764 |
12 | 34ba9b00 |
13 | 1c487a42 |
14 | 12382ad2 |
15 | ab2be73 |
hex | 74bb0f0 |
122401008 has 60 divisors (see below), whose sum is σ = 344071728. Its totient is φ = 40619520.
The previous prime is 122401007. The next prime is 122401039. The reversal of 122401008 is 800104221.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122401007) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32941 + ... + 36467.
Almost surely, 2122401008 is an apocalyptic number.
122401008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122401008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172035864).
122401008 is an abundant number, since it is smaller than the sum of its proper divisors (221670720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122401008 is a wasteful number, since it uses less digits than its factorization.
122401008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3782 (or 3773 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 122401008 is about 11063.4989040538. The cubic root of 122401008 is about 496.5103790847.
Adding to 122401008 its reverse (800104221), we get a palindrome (922505229).
The spelling of 122401008 in words is "one hundred twenty-two million, four hundred one thousand, eight".
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