125505000000 has 336 divisors, whose sum is σ = 449831856240. Its totient is φ = 33456000000.

The previous prime is 125504999987. The next prime is 125505000007. The reversal of 125505000000 is 505521.

It can be written as a sum of positive squares in 8 ways, for example, as 103534645824 + 21970354176 = 321768^2 + 148224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (125505000007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44998606 + ... + 45001394.

Almost surely, 2^125505000000 is an apocalyptic number.

125505000000 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 125505000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224915928120).

125505000000 is an abundant number, since it is smaller than the sum of its proper divisors (324326856240).

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

125505000000 is an frugal number, since it uses more digits than its factorization.

125505000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

Adding to 125505000000 its reverse (505521), we get a palindrome (125505505521).

The spelling of 125505000000 in words is "one hundred twenty-five billion, five hundred five million", and thus it is an aban number.