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120112080 = 24351145497
BaseRepresentation
bin1110010100011…
…00001111010000
322101000022210120
413022030033100
5221222041310
615530230240
72655635664
oct712141720
9271008716
10120112080
1161888a90
1234285380
131bb65c4a
1411d488a4
15a828b70
hex728c3d0

120112080 has 80 divisors (see below), whose sum is σ = 406206144. Its totient is φ = 29117440.

The previous prime is 120112067. The next prime is 120112081. The reversal of 120112080 is 80211021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20109 + ... + 25388.

Almost surely, 2120112080 is an apocalyptic number.

120112080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112080 is an abundant number, since it is smaller than the sum of its proper divisors (286094064).

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

120112080 is a wasteful number, since it uses less digits than its factorization.

120112080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45524 (or 45518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 120112080 is about 10959.5656848253. The cubic root of 120112080 is about 493.3959298868.

The spelling of 120112080 in words is "one hundred twenty million, one hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 45497 90994 136491 181988 227485 272982 363976 454970 500467 545964 682455 727952 909940 1000934 1091928 1364910 1501401 1819880 2001868 2183856 2502335 2729820 3002802 3639760 4003736 5004670 5459640 6005604 7507005 8007472 10009340 10919280 12011208 15014010 20018680 24022416 30028020 40037360 60056040 120112080