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120150120 = 23353592789
BaseRepresentation
bin1110010100101…
…01100001101000
322101002020222110
413022111201220
5221224300440
615531122320
72656154616
oct712254150
9271066873
10120150120
1161904622
12342a33a0
131bb7a35c
1411d586b6
15a835080
hex7295868

120150120 has 64 divisors (see below), whose sum is σ = 361584000. Its totient is φ = 31939328.

The previous prime is 120150097. The next prime is 120150133. The reversal of 120150120 is 21051021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120150096 and 120150105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41686 + ... + 44474.

It is an arithmetic number, because the mean of its divisors is an integer number (5649750).

Almost surely, 2120150120 is an apocalyptic number.

120150120 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 120150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180792000).

120150120 is an abundant number, since it is smaller than the sum of its proper divisors (241433880).

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

120150120 is a wasteful number, since it uses less digits than its factorization.

120150120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 120150120 is about 10961.3010176712. The cubic root of 120150120 is about 493.4480112432.

Subtracting from 120150120 its reverse (21051021), we obtain a palindrome (99099099).

The spelling of 120150120 in words is "one hundred twenty million, one hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 359 718 1077 1436 1795 2154 2789 2872 3590 4308 5385 5578 7180 8367 8616 10770 11156 13945 14360 16734 21540 22312 27890 33468 41835 43080 55780 66936 83670 111560 167340 334680 1001251 2002502 3003753 4005004 5006255 6007506 8010008 10012510 12015012 15018765 20025020 24030024 30037530 40050040 60075060 120150120