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120312114 = 231339127
BaseRepresentation
bin1110010101111…
…01000100110010
322101101111012020
413022331010302
5221244441424
615534412310
72660431116
oct712750462
9271344166
10120312114
1161a052aa
1234361096
131bc06000
1411d9b746
15a868079
hex72bd132

120312114 has 32 divisors (see below), whose sum is σ = 260695680. Its totient is φ = 37015056.

The previous prime is 120312061. The next prime is 120312121. The reversal of 120312114 is 411213021.

It is a junction number, because it is equal to n+sod(n) for n = 120312093 and 120312102.

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, 8619 + ... + 17745.

It is an arithmetic number, because the mean of its divisors is an integer number (8146740).

Almost surely, 2120312114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120312114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130347840).

120312114 is an abundant number, since it is smaller than the sum of its proper divisors (140383566).

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

120312114 is an equidigital number, since it uses as much as digits as its factorization.

120312114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 120312114 is about 10968.6878887130. The cubic root of 120312114 is about 493.6696776032.

Adding to 120312114 its reverse (411213021), we get a palindrome (531525135).

The spelling of 120312114 in words is "one hundred twenty million, three hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2197 4394 6591 9127 13182 18254 27381 54762 118651 237302 355953 711906 1542463 3084926 4627389 9254778 20052019 40104038 60156057 120312114