| Base | Representation |
|---|---|
| bin | 111000011111101010… |
| … | …0000101001101100000 |
| 3 | 102121011002110021100102 |
| 4 | 1300333110011031200 |
| 5 | 3441431224004440 |
| 6 | 131422332441532 |
| 7 | 11523312101150 |
| oct | 1607724051540 |
| 9 | 377132407312 |
| 10 | 121321313120 |
| 11 | 474a779a237 |
| 12 | 1b61a3192a8 |
| 13 | b595b75357 |
| 14 | 5c2ca14760 |
| 15 | 3250ea5b15 |
| hex | 1c3f505360 |
121321313120 has 192 divisors, whose sum is σ = 332584672896. Its totient is φ = 40963276800.
The previous prime is 121321313083. The next prime is 121321313147. The reversal of 121321313120 is 21313123121.
It is a happy number.
It is a super-2 number, since 2×1213213131202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 121321313092 and 121321313101.
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 31 ways as a sum of consecutive naturals, for example, 21829382 + ... + 21834938.
It is an arithmetic number, because the mean of its divisors is an integer number (1732211838).
Almost surely, 2121321313120 is an apocalyptic number.
121321313120 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 121321313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166292336448).
121321313120 is an abundant number, since it is smaller than the sum of its proper divisors (211263359776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121321313120 is a wasteful number, since it uses less digits than its factorization.
121321313120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5873 (or 5865 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 20.
Adding to 121321313120 its reverse (21313123121), we get a palindrome (142634436241).
The spelling of 121321313120 in words is "one hundred twenty-one billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred twenty".
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