125205012240 has 320 divisors, whose sum is σ = 512375777280. Its totient is φ = 24486174720.

The previous prime is 125205012239. The next prime is 125205012311. The reversal of 125205012240 is 42210502521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125205012240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114891 + ... + 513429.

It is an arithmetic number, because the mean of its divisors is an integer number (1601174304).

Almost surely, 2^125205012240 is an apocalyptic number.

125205012240 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 125205012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256187888640).

125205012240 is an abundant number, since it is smaller than the sum of its proper divisors (387170765040).

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

125205012240 is a wasteful number, since it uses less digits than its factorization.

125205012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398590 (or 398584 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 125205012240 its reverse (42210502521), we get a palindrome (167415514761).

The spelling of 125205012240 in words is "one hundred twenty-five billion, two hundred five million, twelve thousand, two hundred forty".