| Base | Representation |
|---|---|
| bin | 1110100011101… |
| … | …01010000110000 |
| 3 | 22111210002110020 |
| 4 | 13101311100300 |
| 5 | 222230140440 |
| 6 | 20041203440 |
| 7 | 3011650521 |
| oct | 721652060 |
| 9 | 274702406 |
| 10 | 122115120 |
| 11 | 62a26996 |
| 12 | 34a90580 |
| 13 | 1c3b788a |
| 14 | 1230a848 |
| 15 | aac23d0 |
| hex | 7475430 |
122115120 has 80 divisors (see below), whose sum is σ = 382877280. Its totient is φ = 32192512.
The previous prime is 122115113. The next prime is 122115121. The reversal of 122115120 is 21511221.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×1221151202 = 29824205065228800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 122115120.
It is not an unprimeable number, because it can be changed into a prime (122115121) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18502 + ... + 24218.
It is an arithmetic number, because the mean of its divisors is an integer number (4785966).
Almost surely, 2122115120 is an apocalyptic number.
122115120 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 122115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191438640).
122115120 is an abundant number, since it is smaller than the sum of its proper divisors (260762160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122115120 is a wasteful number, since it uses less digits than its factorization.
122115120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5822 (or 5816 counting only the distinct ones).
The product of its (nonzero) digits is 40, while the sum is 15.
The square root of 122115120 is about 11050.5710259697. The cubic root of 122115120 is about 496.1235167585.
Adding to 122115120 its reverse (21511221), we get a palindrome (143626341).
The spelling of 122115120 in words is "one hundred twenty-two million, one hundred fifteen thousand, one hundred twenty".
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