| Base | Representation |
|---|---|
| bin | 1110010100011… |
| … | …10111000000000 |
| 3 | 22101000212121120 |
| 4 | 13022032320000 |
| 5 | 221222413010 |
| 6 | 15530352240 |
| 7 | 2656012323 |
| oct | 712167000 |
| 9 | 271025546 |
| 10 | 120122880 |
| 11 | 61896109 |
| 12 | 3428b680 |
| 13 | 1bb6ab37 |
| 14 | 11d4c7ba |
| 15 | a82be70 |
| hex | 728ee00 |
120122880 has 80 divisors (see below), whose sum is σ = 384042384. Its totient is φ = 32030720.
The previous prime is 120122837. The next prime is 120122881. The reversal of 120122880 is 88221021.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 120122880.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120122881) 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 7 ways as a sum of consecutive naturals, for example, 141 + ... + 15500.
Almost surely, 2120122880 is an apocalyptic number.
120122880 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 120122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192021192).
120122880 is an abundant number, since it is smaller than the sum of its proper divisors (263919504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120122880 is an equidigital number, since it uses as much as digits as its factorization.
120122880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15667 (or 15651 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 24.
The square root of 120122880 is about 10960.0583940050. The cubic root of 120122880 is about 493.4107175095.
It can be divided in two parts, 120 and 122880, that multiplied together give a square (14745600 = 38402).
The spelling of 120122880 in words is "one hundred twenty million, one hundred twenty-two thousand, eight hundred eighty".
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