125115202000 has 80 divisors (see below), whose sum is σ = 303387291792. Its totient is φ = 49904025600.

The previous prime is 125115201943. The next prime is 125115202007. The reversal of 125115202000 is 202511521.

It can be written as a sum of positive squares in 8 ways, for example, as 44575032384 + 80540169616 = 211128^2 + 283796^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125115202007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617392 + ... + 794608.

Almost surely, 2^125115202000 is an apocalyptic number.

125115202000 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 125115202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151693645896).

125115202000 is an abundant number, since it is smaller than the sum of its proper divisors (178272089792).

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

125115202000 is a wasteful number, since it uses less digits than its factorization.

125115202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177593 (or 177577 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 125115202000 its reverse (202511521), we get a palindrome (125317713521).

The spelling of 125115202000 in words is "one hundred twenty-five billion, one hundred fifteen million, two hundred two thousand".