10122560 has 56 divisors (see below), whose sum is σ = 27553920. Its totient is φ = 3469824.

The previous prime is 10122559. The next prime is 10122577. The reversal of 10122560 is 6522101.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20 + ... + 4499.

Almost surely, 2^10122560 is an apocalyptic number.

10122560 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 10122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776960).

10122560 is an abundant number, since it is smaller than the sum of its proper divisors (17431360).

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

10122560 is an equidigital number, since it uses as much as digits as its factorization.

10122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10122560 is about 3181.5970832272. The cubic root of 10122560 is about 216.3200559329.

Adding to 10122560 its reverse (6522101), we get a palindrome (16644661).

The spelling of 10122560 in words is "ten million, one hundred twenty-two thousand, five hundred sixty".