10121280 has 112 divisors (see below), whose sum is σ = 34649664. Its totient is φ = 2488320.

The previous prime is 10121257. The next prime is 10121299. The reversal of 10121280 is 8212101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12075 + ... + 12885.

It is an arithmetic number, because the mean of its divisors is an integer number (309372).

Almost surely, 2^10121280 is an apocalyptic number.

10121280 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 10121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17324832).

10121280 is an abundant number, since it is smaller than the sum of its proper divisors (24528384).

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

10121280 is a wasteful number, since it uses less digits than its factorization.

10121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 10121280 is about 3181.3959200326. The cubic root of 10121280 is about 216.3109376419.

Adding to 10121280 its reverse (8212101), we get a palindrome (18333381).

It can be divided in two parts, 10121 and 280, that added together give a palindrome (10401).

The spelling of 10121280 in words is "ten million, one hundred twenty-one thousand, two hundred eighty".