10126120 has 16 divisors (see below), whose sum is σ = 22783860. Its totient is φ = 4050432.

The previous prime is 10126117. The next prime is 10126157. The reversal of 10126120 is 2162101.

It can be written as a sum of positive squares in 2 ways, for example, as 9253764 + 872356 = 3042^2 + 934^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10126120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126537 + ... + 126616.

Almost surely, 2^10126120 is an apocalyptic number.

10126120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10126120 is an abundant number, since it is smaller than the sum of its proper divisors (12657740).

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

10126120 is a wasteful number, since it uses less digits than its factorization.

10126120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253164 (or 253160 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10126120 is about 3182.1565014939. The cubic root of 10126120 is about 216.3454121385.

Adding to 10126120 its reverse (2162101), we get a palindrome (12288221).

It can be divided in two parts, 1012 and 6120, that multiplied together give a triangular number (6193440 = T₃₅₁₉).

The spelling of 10126120 in words is "ten million, one hundred twenty-six thousand, one hundred twenty".