| Base | Representation |
|---|---|
| bin | 111000100000101100… |
| … | …0111100110110000000 |
| 3 | 102121020111222212100000 |
| 4 | 1301001120330312000 |
| 5 | 3442014133102000 |
| 6 | 131430015200000 |
| 7 | 11524214130000 |
| oct | 1610130746600 |
| 9 | 377214885300 |
| 10 | 121356144000 |
| 11 | 4751541a193 |
| 12 | 1b629b16000 |
| 13 | b5a014c140 |
| 14 | 5c334c0000 |
| 15 | 3254086000 |
| hex | 1c4163cd80 |
121356144000 has 1920 divisors, whose sum is σ = 567815582880. Its totient is φ = 25604812800.
The previous prime is 121356143989. The next prime is 121356144017. The reversal of 121356144000 is 441653121.
It is a happy number.
121356144000 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 5 + 614 + 40 + 0 + 0 = 666.
121356144000 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 (1920).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9335087994 + ... + 9335088006.
Almost surely, 2121356144000 is an apocalyptic number.
121356144000 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 121356144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283907791440).
121356144000 is an abundant number, since it is smaller than the sum of its proper divisors (446459438880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121356144000 is an frugal number, since it uses more digits than its factorization.
121356144000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 85 (or 30 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
Adding to 121356144000 its reverse (441653121), we get a palindrome (121797797121).
It can be divided in two parts, 121356 and 144000, that added together give a triangular number (265356 = T728).
The spelling of 121356144000 in words is "one hundred twenty-one billion, three hundred fifty-six million, one hundred forty-four thousand".
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