Search a number
-
+
120839380992 = 2133211374027
BaseRepresentation
bin111000010001010010…
…1101010000000000000
3102112220111121120202100
41300202211222000000
53434434340142432
6131302435150400
711505340535211
oct1604245520000
9375814546670
10120839380992
114727a753520
121b504a45400
13b51a078105
145bc4a03408
153223a0b07c
hex1c2296a000

120839380992 has 336 divisors, whose sum is σ = 391193011872. Its totient is φ = 35619471360.

The previous prime is 120839380939. The next prime is 120839381063. The reversal of 120839380992 is 299083938021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30005283 + ... + 30009309.

Almost surely, 2120839380992 is an apocalyptic number.

120839380992 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 120839380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195596505936).

120839380992 is an abundant number, since it is smaller than the sum of its proper divisors (270353630880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120839380992 is a wasteful number, since it uses less digits than its factorization.

120839380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 120839380992 in words is "one hundred twenty billion, eight hundred thirty-nine million, three hundred eighty thousand, nine hundred ninety-two".