10125612 has 72 divisors (see below), whose sum is σ = 30541056. Its totient is φ = 2765664.

The previous prime is 10125601. The next prime is 10125617. The reversal of 10125612 is 21652101.

10125612 is a `hidden beast` number, since 101 + 2 + 561 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10125617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4923 + ... + 6669.

Almost surely, 2^10125612 is an apocalyptic number.

10125612 is a gapful number since it is divisible by the number (12) 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 10125612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270528).

10125612 is an abundant number, since it is smaller than the sum of its proper divisors (20415444).

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

10125612 is a wasteful number, since it uses less digits than its factorization.

10125612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10125612 is about 3182.0766804086. The cubic root of 10125612 is about 216.3417942570.

Adding to 10125612 its reverse (21652101), we get a palindrome (31777713).

The spelling of 10125612 in words is "ten million, one hundred twenty-five thousand, six hundred twelve".