10129120 has 96 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 3741696.

The previous prime is 10129117. The next prime is 10129129. The reversal of 10129120 is 2192101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10129094 and 10129103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129129) 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, 171651 + ... + 171709.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^10129120 is an apocalyptic number.

10129120 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 10129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

10129120 is an abundant number, since it is smaller than the sum of its proper divisors (15726080).

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

10129120 is a wasteful number, since it uses less digits than its factorization.

10129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 10129120 is about 3182.6278450362. The cubic root of 10129120 is about 216.3667751137.

The spelling of 10129120 in words is "ten million, one hundred twenty-nine thousand, one hundred twenty".