351120 has 160 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 69120.

The previous prime is 351097. The next prime is 351121. The reversal of 351120 is 21153.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 351096 and 351105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351121) by changing a digit.

351120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18471 + ... + 18489.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2³⁵¹¹²⁰ is an apocalyptic number.

351120 is a gapful number since it is divisible by the number (30) 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 351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

351120 is an abundant number, since it is smaller than the sum of its proper divisors (1077360).

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

351120 is a wasteful number, since it uses less digits than its factorization.

351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 351120 is about 592.5537950262. The cubic root of 351120 is about 70.5480784668.

Adding to 351120 its reverse (21153), we get a palindrome (372273).

The spelling of 351120 in words is "three hundred fifty-one thousand, one hundred twenty".