| Base | Representation |
|---|---|
| bin | 1110010101000… |
| … | …01111110100000 |
| 3 | 22101011211221100 |
| 4 | 13022201332200 |
| 5 | 221232413440 |
| 6 | 15532154400 |
| 7 | 2656456404 |
| oct | 712417640 |
| 9 | 271154840 |
| 10 | 120201120 |
| 11 | 61939976 |
| 12 | 34308a00 |
| 13 | 1bb97630 |
| 14 | 11d6d104 |
| 15 | a845230 |
| hex | 72a1fa0 |
120201120 has 144 divisors (see below), whose sum is σ = 441807912. Its totient is φ = 29583360.
The previous prime is 120201119. The next prime is 120201127. The reversal of 120201120 is 21102021.
It can be written as a sum of positive squares in 4 ways, for example, as 61402896 + 58798224 = 7836^2 + 7668^2 .
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 (9).
It is not an unprimeable number, because it can be changed into a prime (120201127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15510 + ... + 21930.
Almost surely, 2120201120 is an apocalyptic number.
120201120 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 120201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220903956).
120201120 is an abundant number, since it is smaller than the sum of its proper divisors (321606792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120201120 is a wasteful number, since it uses less digits than its factorization.
120201120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6455 (or 6444 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 120201120 is about 10963.6271370382. The cubic root of 120201120 is about 493.5178191599.
Adding to 120201120 its reverse (21102021), we get a palindrome (141303141).
Subtracting from 120201120 its reverse (21102021), we obtain a palindrome (99099099).
The spelling of 120201120 in words is "one hundred twenty million, two hundred one thousand, one hundred twenty".
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