10512120 has 64 divisors (see below), whose sum is σ = 33397920. Its totient is φ = 2637824.

The previous prime is 10512109. The next prime is 10512121. The reversal of 10512120 is 2121501.

It is a super-2 number, since 2×10512120² = 221009333788800, which contains 22 as substring.

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 = 10512096 and 10512105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10512121) 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 15 ways as a sum of consecutive naturals, for example, 537 + ... + 4616.

Almost surely, 2^10512120 is an apocalyptic number.

10512120 is a gapful number since it is divisible by the number (10) 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 10512120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16698960).

10512120 is an abundant number, since it is smaller than the sum of its proper divisors (22885800).

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

10512120 is a wasteful number, since it uses less digits than its factorization.

10512120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 10512120 is about 3242.2399664430. The cubic root of 10512120 is about 219.0601782039.

Adding to 10512120 its reverse (2121501), we get a palindrome (12633621).

The spelling of 10512120 in words is "ten million, five hundred twelve thousand, one hundred twenty".