120512 has 28 divisors (see below), whose sum is σ = 274320. Its totient is φ = 51456.

The previous prime is 120511. The next prime is 120539. The reversal of 120512 is 215021.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 120493 and 120502.

It is not an unprimeable number, because it can be changed into a prime (120511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 314 + ... + 582.

2^{120512} 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 120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137160).

120512 is an abundant number, since it is smaller than the sum of its proper divisors (153808).

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

120512 is an equidigital number, since it uses as much as digits as its factorization.

120512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 120512 is about 347.1483832600. The cubic root of 120512 is about 49.3942919858.

Adding to 120512 its reverse (215021), we get a palindrome (335533).

The spelling of 120512 in words is "one hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 269 448 538 1076 1883 2152 3766 4304 7532 8608 15064 17216 30128 60256 120512

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