| Base | Representation |
|---|---|
| bin | 111000100000000000… |
| … | …1001101100111100000 |
| 3 | 102121011220201100022100 |
| 4 | 1301000001031213200 |
| 5 | 3441442241102112 |
| 6 | 131423434210400 |
| 7 | 11523514464462 |
| oct | 1610001154740 |
| 9 | 377156640270 |
| 10 | 121333144032 |
| 11 | 4750343aa51 |
| 12 | 1b622283a00 |
| 13 | b5984583a9 |
| 14 | 5c30414132 |
| 15 | 32520412dc |
| hex | 1c4004d9e0 |
121333144032 has 144 divisors (see below), whose sum is σ = 360579098880. Its totient is φ = 38663122176.
The previous prime is 121333144027. The next prime is 121333144081. The reversal of 121333144032 is 230441333121.
It is a happy number.
121333144032 is a `hidden beast` number, since 1 + 213 + 3 + 3 + 1 + 440 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a junction number, because it is equal to n+sod(n) for n = 121333143987 and 121333144005.
It is a congruent number.
It is an unprimeable number.
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, 477819 + ... + 686277.
It is an arithmetic number, because the mean of its divisors is an integer number (2504021520).
Almost surely, 2121333144032 is an apocalyptic number.
121333144032 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 121333144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180289549440).
121333144032 is an abundant number, since it is smaller than the sum of its proper divisors (239245954848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121333144032 is a wasteful number, since it uses less digits than its factorization.
121333144032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 208565 (or 208554 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 121333144032 its reverse (230441333121), we get a palindrome (351774477153).
The spelling of 121333144032 in words is "one hundred twenty-one billion, three hundred thirty-three million, one hundred forty-four thousand, thirty-two".
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