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120960000 = 21033547
BaseRepresentation
bin1110011010110…
…11010000000000
322102121101221000
413031123100000
5221431210000
620000332000
72666100030
oct715332000
9272541830
10120960000
1162308047
1234614000
131c0a1b85
14120c98c0
15a945000
hex735b400

120960000 has 440 divisors, whose sum is σ = 511586240. Its totient is φ = 27648000.

The previous prime is 120959977. The next prime is 120960001. The reversal of 120960000 is 69021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120960001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 17279997 + ... + 17280003.

It is an arithmetic number, because the mean of its divisors is an integer number (1162696).

Almost surely, 2120960000 is an apocalyptic number.

120960000 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 120960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255793120).

120960000 is an abundant number, since it is smaller than the sum of its proper divisors (390626240).

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

120960000 is an frugal number, since it uses more digits than its factorization.

120960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 120960000 is about 10998.1816678940. The cubic root of 120960000 is about 494.5542359770.

The spelling of 120960000 in words is "one hundred twenty million, nine hundred sixty thousand".