125203915200 has 1344 divisors, whose sum is σ = 531898400768. Its totient is φ = 25082265600.

The previous prime is 125203915171. The next prime is 125203915241. The reversal of 125203915200 is 2519302521.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 985857537 + ... + 985857663.

Almost surely, 2^125203915200 is an apocalyptic number.

125203915200 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 125203915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265949200384).

125203915200 is an abundant number, since it is smaller than the sum of its proper divisors (406694485568).

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

125203915200 is a wasteful number, since it uses less digits than its factorization.

125203915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

It can be divided in two parts, 125203 and 915200, that added together give a triangular number (1040403 = T₁₄₄₂).

The spelling of 125203915200 in words is "one hundred twenty-five billion, two hundred three million, nine hundred fifteen thousand, two hundred".