| Base | Representation |
|---|---|
| bin | 1110101000011… |
| … | …10000110010000 |
| 3 | 22112221220012000 |
| 4 | 13110032012100 |
| 5 | 222410204021 |
| 6 | 20102434000 |
| 7 | 3020165610 |
| oct | 724160620 |
| 9 | 275856160 |
| 10 | 122741136 |
| 11 | 63314261 |
| 12 | 35132900 |
| 13 | 1c5767bb |
| 14 | 12430a40 |
| 15 | ab97b26 |
| hex | 750e190 |
122741136 has 160 divisors (see below), whose sum is σ = 413902080. Its totient is φ = 34089984.
The previous prime is 122741131. The next prime is 122741141. The reversal of 122741136 is 631147221.
It is an interprime number because it is at equal distance from previous prime (122741131) and next prime (122741141).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (122741131) 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, 111340 + ... + 112436.
It is an arithmetic number, because the mean of its divisors is an integer number (2586888).
Almost surely, 2122741136 is an apocalyptic number.
122741136 is a gapful number since it is divisible by the number (16) 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 122741136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206951040).
122741136 is an abundant number, since it is smaller than the sum of its proper divisors (291160944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122741136 is a wasteful number, since it uses less digits than its factorization.
122741136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1158 (or 1146 counting only the distinct ones).
The product of its digits is 2016, while the sum is 27.
The square root of 122741136 is about 11078.8598691382. The cubic root of 122741136 is about 496.9698548705.
Adding to 122741136 its reverse (631147221), we get a palindrome (753888357).
The spelling of 122741136 in words is "one hundred twenty-two million, seven hundred forty-one thousand, one hundred thirty-six".
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