1205107125 has 16 divisors (see below), whose sum is σ = 2005298880. Its totient is φ = 642723600.

The previous prime is 1205107087. The next prime is 1205107139. The reversal of 1205107125 is 5217015021.

It is not a de Polignac number, because 1205107125 - 2¹⁵ = 1205074357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1205107095 and 1205107104.

It is a congruent number.

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, 1606435 + ... + 1607184.

It is an arithmetic number, because the mean of its divisors is an integer number (125331180).

Almost surely, 2^1205107125 is an apocalyptic number.

1205107125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1205107125 is a deficient number, since it is larger than the sum of its proper divisors (800191755).

1205107125 is an equidigital number, since it uses as much as digits as its factorization.

1205107125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213637 (or 3213627 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 1205107125 is about 34714.6528860653. The cubic root of 1205107125 is about 1064.1639717165.

The spelling of 1205107125 in words is "one billion, two hundred five million, one hundred seven thousand, one hundred twenty-five".