| Base | Representation |
|---|---|
| bin | 11000100111111101… |
| … | …10000101011100000 |
| 3 | 1021010022222202010200 |
| 4 | 30103332300223200 |
| 5 | 204033322340222 |
| 6 | 10023453025200 |
| 7 | 645415114506 |
| oct | 142376605340 |
| 9 | 37108882120 |
| 10 | 13220121312 |
| 11 | 56744608a2 |
| 12 | 268b485200 |
| 13 | 1328b826b8 |
| 14 | 8d5aa8676 |
| 15 | 525932eac |
| hex | 313fb0ae0 |
13220121312 has 144 divisors (see below), whose sum is σ = 38956029840. Its totient is φ = 4249276416.
The previous prime is 13220121307. The next prime is 13220121373. The reversal of 13220121312 is 21312102231.
13220121312 is a `hidden beast` number, since 13 + 220 + 121 + 312 = 666.
13220121312 is digitally balanced in base 2, 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 (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198639 + ... + 1209617.
It is an arithmetic number, because the mean of its divisors is an integer number (270527985).
Almost surely, 213220121312 is an apocalyptic number.
13220121312 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 13220121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19478014920).
13220121312 is an abundant number, since it is smaller than the sum of its proper divisors (25735908528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13220121312 is a wasteful number, since it uses less digits than its factorization.
13220121312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11145 (or 11134 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 13220121312 its reverse (21312102231), we get a palindrome (34532223543).
The spelling of 13220121312 in words is "thirteen billion, two hundred twenty million, one hundred twenty-one thousand, three hundred twelve".
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