125501035200 has 168 divisors, whose sum is σ = 412113569472. Its totient is φ = 33437230080.

The previous prime is 125501035189. The next prime is 125501035241. The reversal of 125501035200 is 2530105521.

It is a happy number.

125501035200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5686587 + ... + 5708613.

Almost surely, 2^125501035200 is an apocalyptic number.

125501035200 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 125501035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206056784736).

125501035200 is an abundant number, since it is smaller than the sum of its proper divisors (286612534272).

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

125501035200 is a wasteful number, since it uses less digits than its factorization.

125501035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23239 (or 23224 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 125501035200 in words is "one hundred twenty-five billion, five hundred one million, thirty-five thousand, two hundred".