10122880 has 32 divisors (see below), whose sum is σ = 24201540. Its totient is φ = 4048896.

The previous prime is 10122869. The next prime is 10122881. The reversal of 10122880 is 8822101.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 238144 = 3144^2 + 488^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10122881) 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, 7269 + ... + 8548.

Almost surely, 2^10122880 is an apocalyptic number.

10122880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122880 is an abundant number, since it is smaller than the sum of its proper divisors (14078660).

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

10122880 is an equidigital number, since it uses as much as digits as its factorization.

10122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15836 (or 15824 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 10122880 is about 3181.6473720386. The cubic root of 10122880 is about 216.3223353855.

Adding to 10122880 its reverse (8822101), we get a palindrome (18944981).

The spelling of 10122880 in words is "ten million, one hundred twenty-two thousand, eight hundred eighty".