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120320220000 = 2535417179659
BaseRepresentation
bin111000000001110100…
…1001101101101100000
3102111120022201110202110
41300003221031231200
53432403434020000
6131135131515320
711456434665261
oct1600351155540
9374508643673
10120320220000
114703369a152
121b39abb8b40
13b466644766
145b75aa0968
1531e315a850
hex1c03a4db60

120320220000 has 480 divisors, whose sum is σ = 420862780800. Its totient is φ = 29983744000.

The previous prime is 120320219923. The next prime is 120320220011. The reversal of 120320220000 is 22023021.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 182579671 + ... + 182580329.

It is an arithmetic number, because the mean of its divisors is an integer number (876797460).

Almost surely, 2120320220000 is an apocalyptic number.

120320220000 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 120320220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210431390400).

120320220000 is an abundant number, since it is smaller than the sum of its proper divisors (300542560800).

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

120320220000 is a wasteful number, since it uses less digits than its factorization.

120320220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 120320220000 its reverse (22023021), we get a palindrome (120342243021).

The spelling of 120320220000 in words is "one hundred twenty billion, three hundred twenty million, two hundred twenty thousand".