| Base | Representation |
|---|---|
| bin | 100100011001100… |
| … | …0000110010010000 |
| 3 | 10011010011002200200 |
| 4 | 1020303000302100 |
| 5 | 10000130111422 |
| 6 | 321105215200 |
| 7 | 42160103010 |
| oct | 11063006220 |
| 9 | 3133132620 |
| 10 | 1221332112 |
| 11 | 577456990 |
| 12 | 2a1031500 |
| 13 | 166053030 |
| 14 | b82c3c40 |
| 15 | 723512ac |
| hex | 48cc0c90 |
1221332112 has 480 divisors, whose sum is σ = 4733863680. Its totient is φ = 283668480.
The previous prime is 1221332111. The next prime is 1221332153. The reversal of 1221332112 is 2112331221.
1221332112 is a `hidden beast` number, since 1 + 221 + 332 + 112 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (1221332111) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5333214 + ... + 5333442.
It is an arithmetic number, because the mean of its divisors is an integer number (9862216).
Almost surely, 21221332112 is an apocalyptic number.
1221332112 is a gapful number since it is divisible by the number (12) 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 1221332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366931840).
1221332112 is an abundant number, since it is smaller than the sum of its proper divisors (3512531568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1221332112 is a wasteful number, since it uses less digits than its factorization.
1221332112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 311 (or 302 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 1221332112 is about 34947.5623184222. The cubic root of 1221332112 is about 1068.9184961384.
Adding to 1221332112 its reverse (2112331221), we get a palindrome (3333663333).
It can be divided in two parts, 1221 and 332112, that added together give a palindrome (333333).
The spelling of 1221332112 in words is "one billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred twelve".
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