123012825 has 48 divisors (see below), whose sum is σ = 222235776. Its totient is φ = 59673600.

The previous prime is 123012787. The next prime is 123012839. The reversal of 123012825 is 528210321.

It is not a de Polignac number, because 123012825 - 2⁸ = 123012569 is a prime.

It is a super-2 number, since 2×123012825² = 30264310228961250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123012795 and 123012804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68337 + ... + 70113.

It is an arithmetic number, because the mean of its divisors is an integer number (4629912).

Almost surely, 2^123012825 is an apocalyptic number.

123012825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123012825 is a deficient number, since it is larger than the sum of its proper divisors (99222951).

123012825 is a wasteful number, since it uses less digits than its factorization.

123012825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 123012825 is about 11091.1146869916. The cubic root of 123012825 is about 497.3362675932.

The spelling of 123012825 in words is "one hundred twenty-three million, twelve thousand, eight hundred twenty-five".