3125123040 has 384 divisors, whose sum is σ = 11437493760. Its totient is φ = 710664192.

The previous prime is 3125123017. The next prime is 3125123047. The reversal of 3125123040 is 403215213.

3125123040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3125122998 and 3125123016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125123047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5097774 + ... + 5098386.

It is an arithmetic number, because the mean of its divisors is an integer number (29785140).

Almost surely, 2^3125123040 is an apocalyptic number.

3125123040 is a gapful number since it is divisible by the number (30) 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 3125123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718746880).

3125123040 is an abundant number, since it is smaller than the sum of its proper divisors (8312370720).

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

3125123040 is a wasteful number, since it uses less digits than its factorization.

3125123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3125123040 is about 55902.7999298783. The cubic root of 3125123040 is about 1462.0280566489.

Adding to 3125123040 its reverse (403215213), we get a palindrome (3528338253).

The spelling of 3125123040 in words is "three billion, one hundred twenty-five million, one hundred twenty-three thousand, forty".