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120480120 = 23325334667
BaseRepresentation
bin1110010111001…
…10000101111000
322101201000122200
413023212011320
5221320330440
615542150200
72662030665
oct713460570
9271630580
10120480120
116200a552
1234422360
131bc64617
1412002a6c
15a89cc30
hex72e6178

120480120 has 48 divisors (see below), whose sum is σ = 391561560. Its totient is φ = 32127936.

The previous prime is 120480097. The next prime is 120480127. The reversal of 120480120 is 21084021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120480093 and 120480102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120480127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166974 + ... + 167693.

Almost surely, 2120480120 is an apocalyptic number.

120480120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120480120 is an abundant number, since it is smaller than the sum of its proper divisors (271081440).

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

120480120 is a wasteful number, since it uses less digits than its factorization.

120480120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334684 (or 334677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 120480120 is about 10976.3436535123. The cubic root of 120480120 is about 493.8993604644.

The spelling of 120480120 in words is "one hundred twenty million, four hundred eighty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 334667 669334 1004001 1338668 1673335 2008002 2677336 3012003 3346670 4016004 5020005 6024006 6693340 8032008 10040010 12048012 13386680 15060015 20080020 24096024 30120030 40160040 60240060 120480120