| Base | Representation |
|---|---|
| bin | 111000000011110101… |
| … | …1001000001010000000 |
| 3 | 102111202000221102210100 |
| 4 | 1300013223020022000 |
| 5 | 3433023241033100 |
| 6 | 131145545002400 |
| 7 | 11461215450165 |
| oct | 1600753101200 |
| 9 | 374660842710 |
| 10 | 120387830400 |
| 11 | 47068878912 |
| 12 | 1b3b9783400 |
| 13 | b477657706 |
| 14 | 5b80a6006c |
| 15 | 31e9063400 |
| hex | 1c07ac8280 |
120387830400 has 1152 divisors, whose sum is σ = 479855001600. Its totient is φ = 28615680000.
The previous prime is 120387830399. The next prime is 120387830401. The reversal of 120387830400 is 4038783021.
120387830400 is a `hidden beast` number, since 120 + 38 + 78 + 30 + 400 = 666.
It is an interprime number because it is at equal distance from previous prime (120387830399) and next prime (120387830401).
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120387830401) by changing a digit.
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 143 ways as a sum of consecutive naturals, for example, 797270325 + ... + 797270475.
It is an arithmetic number, because the mean of its divisors is an integer number (416540800).
Almost surely, 2120387830400 is an apocalyptic number.
120387830400 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 120387830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239927500800).
120387830400 is an abundant number, since it is smaller than the sum of its proper divisors (359467171200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120387830400 is a wasteful number, since it uses less digits than its factorization.
120387830400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 278 (or 258 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 120387830400 in words is "one hundred twenty billion, three hundred eighty-seven million, eight hundred thirty thousand, four hundred".
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