| Base | Representation |
|---|---|
| bin | 1110100011111… |
| … | …01100000000000 |
| 3 | 22111211210202000 |
| 4 | 13101331200000 |
| 5 | 222232230424 |
| 6 | 20042024000 |
| 7 | 3012151065 |
| oct | 721754000 |
| 9 | 274753660 |
| 10 | 122148864 |
| 11 | 62a4a282 |
| 12 | 34aa8000 |
| 13 | 1c3ca046 |
| 14 | 12318c6c |
| 15 | aacc3c9 |
| hex | 747d800 |
122148864 has 144 divisors (see below), whose sum is σ = 369696600. Its totient is φ = 39849984.
The previous prime is 122148863. The next prime is 122148913. The reversal of 122148864 is 468841221.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122148863) 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 11 ways as a sum of consecutive naturals, for example, 2598889 + ... + 2598935.
Almost surely, 2122148864 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 122148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184848300).
122148864 is an abundant number, since it is smaller than the sum of its proper divisors (247547736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122148864 is an frugal number, since it uses more digits than its factorization.
122148864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 125 (or 52 counting only the distinct ones).
The product of its digits is 24576, while the sum is 36.
The square root of 122148864 is about 11052.0977194377. The cubic root of 122148864 is about 496.1692103908.
Multiplying 122148864 by its product of digits (24576), we get a square (3001930481664 = 17326082).
The spelling of 122148864 in words is "one hundred twenty-two million, one hundred forty-eight thousand, eight hundred sixty-four".
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