| Base | Representation |
|---|---|
| bin | 11011011111111000101101… |
| … | …010000010111000000000000 |
| 3 | 120212012121021101222101200000 |
| 4 | 123133320231100113000000 |
| 5 | 111322423420241242000 |
| 6 | 1105114204534400000 |
| 7 | 34321341330632532 |
| oct | 3337705520270000 |
| 9 | 525177241871600 |
| 10 | 120938448384000 |
| 11 | 35597787287a75 |
| 12 | 11692821800000 |
| 13 | 52635a6673250 |
| 14 | 21c1648925852 |
| 15 | dead47326000 |
| hex | 6dfe2d417000 |
120938448384000 has 2496 divisors, whose sum is σ = 508221135571968. Its totient is φ = 28466380800000.
The previous prime is 120938448383989. The next prime is 120938448384007. The reversal of 120938448384000 is 483844839021.
120938448384000 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 3 + 84 + 483 + 84 + 0 + 0 + 0 = 666.
120938448384000 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 (2496).
It is a super-2 number, since 2×1209384483840002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120938448384007) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37200382375 + ... + 37200385625.
It is an arithmetic number, because the mean of its divisors is an integer number (203614237008).
Almost surely, 2120938448384000 is an apocalyptic number.
120938448384000 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 120938448384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254110567785984).
120938448384000 is an abundant number, since it is smaller than the sum of its proper divisors (387282687187968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120938448384000 is an equidigital number, since it uses as much as digits as its factorization.
120938448384000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3341 (or 3297 counting only the distinct ones).
The product of its (nonzero) digits is 5308416, while the sum is 54.
The spelling of 120938448384000 in words is "one hundred twenty trillion, nine hundred thirty-eight billion, four hundred forty-eight million, three hundred eighty-four thousand".
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