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120030120 = 23335715877
BaseRepresentation
bin1110010011110…
…00001110101000
322100212011101000
413021320032220
5221211430440
615524355000
72655145020
oct711701650
9270764330
10120030120
1161832451
1234245a60
131bb37852
1411d26a80
15a80e730
hex72783a8

120030120 has 128 divisors (see below), whose sum is σ = 457286400. Its totient is φ = 27433728.

The previous prime is 120030091. The next prime is 120030133. The reversal of 120030120 is 21030021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379 + ... + 15498.

It is an arithmetic number, because the mean of its divisors is an integer number (3572550).

Almost surely, 2120030120 is an apocalyptic number.

120030120 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 120030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228643200).

120030120 is an abundant number, since it is smaller than the sum of its proper divisors (337256280).

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

120030120 is a wasteful number, since it uses less digits than its factorization.

120030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15904 (or 15894 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120030120 is about 10955.8258474658. The cubic root of 120030120 is about 493.2836793625.

Adding to 120030120 its reverse (21030021), we get a palindrome (141060141).

Subtracting from 120030120 its reverse (21030021), we obtain a palindrome (99000099).

The spelling of 120030120 in words is "one hundred twenty million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 15877 31754 47631 63508 79385 95262 111139 127016 142893 158770 190524 222278 238155 285786 317540 333417 381048 428679 444556 476310 555695 571572 635080 666834 714465 857358 889112 952620 1000251 1111390 1143144 1333668 1428930 1667085 1714716 1905240 2000502 2143395 2222780 2667336 2857860 3000753 3334170 3429432 4001004 4286790 4445560 5001255 5715720 6001506 6668340 8002008 8573580 10002510 12003012 13336680 15003765 17147160 20005020 24006024 30007530 40010040 60015060 120030120