| Base | Representation |
|---|---|
| bin | 1110101001100… |
| … | …00010110100000 |
| 3 | 22120020000122110 |
| 4 | 13110300112200 |
| 5 | 222424201230 |
| 6 | 20105435320 |
| 7 | 3021321633 |
| oct | 724602640 |
| 9 | 276200573 |
| 10 | 122881440 |
| 11 | 633aa710 |
| 12 | 3519bb40 |
| 13 | 1c5c5616 |
| 14 | 12469c1a |
| 15 | abc44b0 |
| hex | 75305a0 |
122881440 has 288 divisors, whose sum is σ = 459514944. Its totient is φ = 27279360.
The previous prime is 122881399. The next prime is 122881459. The reversal of 122881440 is 44188221.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 122881398 and 122881407.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 3321102 + ... + 3321138.
It is an arithmetic number, because the mean of its divisors is an integer number (1595538).
Almost surely, 2122881440 is an apocalyptic number.
122881440 is a gapful number since it is divisible by the number (10) 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 122881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229757472).
122881440 is an abundant number, since it is smaller than the sum of its proper divisors (336633504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122881440 is a wasteful number, since it uses less digits than its factorization.
122881440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 120 (or 75 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 30.
The square root of 122881440 is about 11085.1901201558. The cubic root of 122881440 is about 497.1591429653.
It can be divided in two parts, 122881 and 440, that added together give a palindrome (123321).
The spelling of 122881440 in words is "one hundred twenty-two million, eight hundred eighty-one thousand, four hundred forty".
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