| Base | Representation |
|---|---|
| bin | 111110000010000010… |
| … | …0001110000010100000 |
| 3 | 110201211210020222011200 |
| 4 | 1330010010032002200 |
| 5 | 4140304310413440 |
| 6 | 141110303441200 |
| 7 | 12424060012125 |
| oct | 1740404160240 |
| 9 | 421753228150 |
| 10 | 133212201120 |
| 11 | 515498a63a9 |
| 12 | 219985b6200 |
| 13 | c73c525a5b |
| 14 | 6639d4c74c |
| 15 | 36e9d71c30 |
| hex | 1f0410e0a0 |
133212201120 has 288 divisors, whose sum is σ = 491448746880. Its totient is φ = 32743802880.
The previous prime is 133212201107. The next prime is 133212201163. The reversal of 133212201120 is 21102212331.
133212201120 is a `hidden beast` number, since 1 + 3 + 321 + 220 + 1 + 120 = 666.
133212201120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 133212201093 and 133212201102.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 946525 + ... + 1078115.
It is an arithmetic number, because the mean of its divisors is an integer number (1706419260).
Almost surely, 2133212201120 is an apocalyptic number.
133212201120 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 133212201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245724373440).
133212201120 is an abundant number, since it is smaller than the sum of its proper divisors (358236545760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133212201120 is a wasteful number, since it uses less digits than its factorization.
133212201120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 131668 (or 131657 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 133212201120 its reverse (21102212331), we get a palindrome (154314413451).
The spelling of 133212201120 in words is "one hundred thirty-three billion, two hundred twelve million, two hundred one thousand, one hundred twenty".
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