| Base | Representation |
|---|---|
| bin | 1110100110001… |
| … | …00100101100000 |
| 3 | 22112101121011000 |
| 4 | 13103010211200 |
| 5 | 222321040112 |
| 6 | 20052152000 |
| 7 | 3014503011 |
| oct | 723044540 |
| 9 | 275347130 |
| 10 | 122440032 |
| 11 | 63129010 |
| 12 | 35008600 |
| 13 | 1c49c730 |
| 14 | 12393008 |
| 15 | ab387dc |
| hex | 74c4960 |
122440032 has 192 divisors, whose sum is σ = 419973120. Its totient is φ = 34214400.
The previous prime is 122440013. The next prime is 122440033. The reversal of 122440032 is 230044221.
It is a super-2 number, since 2×1224400322 = 29983122872322048, which contains 22 as substring.
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 = 122439987 and 122440014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122440033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123057 + ... + 124047.
It is an arithmetic number, because the mean of its divisors is an integer number (2187360).
Almost surely, 2122440032 is an apocalyptic number.
122440032 is a gapful number since it is divisible by the number (12) 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 122440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).
122440032 is an abundant number, since it is smaller than the sum of its proper divisors (297533088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122440032 is a wasteful number, since it uses less digits than its factorization.
122440032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1034 (or 1020 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 122440032 is about 11065.2624008652. The cubic root of 122440032 is about 496.5631394406.
Adding to 122440032 its reverse (230044221), we get a palindrome (352484253).
The spelling of 122440032 in words is "one hundred twenty-two million, four hundred forty thousand, thirty-two".
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