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120330112 = 277235839
BaseRepresentation
bin1110010110000…
…01011110000000
322101102101212211
413023001132000
5221301030422
615535031504
72660534440
oct713013600
9271371784
10120330112
1161a17881
123436b594
131bc11266
1411da4120
15a86d577
hex72c1780

120330112 has 64 divisors (see below), whose sum is σ = 285926400. Its totient is φ = 49319424.

The previous prime is 120330109. The next prime is 120330113. The reversal of 120330112 is 211033021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 120330092 and 120330101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120330113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17689 + ... + 23527.

It is an arithmetic number, because the mean of its divisors is an integer number (4467600).

Almost surely, 2120330112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142963200).

120330112 is an abundant number, since it is smaller than the sum of its proper divisors (165596288).

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

120330112 is an equidigital number, since it uses as much as digits as its factorization.

120330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 120330112 is about 10969.5082843307. The cubic root of 120330112 is about 493.6942930903.

Adding to 120330112 its reverse (211033021), we get a palindrome (331363133).

The spelling of 120330112 in words is "one hundred twenty million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 2576 2944 5152 5839 10304 11678 20608 23356 40873 46712 81746 93424 134297 163492 186848 268594 326984 373696 537188 653968 747392 940079 1074376 1307936 1880158 2148752 2615872 3760316 4297504 5231744 7520632 8595008 15041264 17190016 30082528 60165056 120330112