1205125740 has 576 divisors, whose sum is σ = 4843238400. Its totient is φ = 235726848.

The previous prime is 1205125739. The next prime is 1205125777. The reversal of 1205125740 is 475215021.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20425831 + ... + 20425889.

It is an arithmetic number, because the mean of its divisors is an integer number (8408400).

Almost surely, 2^1205125740 is an apocalyptic number.

1205125740 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 1205125740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421619200).

1205125740 is an abundant number, since it is smaller than the sum of its proper divisors (3638112660).

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

1205125740 is a wasteful number, since it uses less digits than its factorization.

1205125740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1205125740 is about 34714.9209994780. The cubic root of 1205125740 is about 1064.1694509833.

The spelling of 1205125740 in words is "one billion, two hundred five million, one hundred twenty-five thousand, seven hundred forty".