125340415200 has 3456 divisors, whose sum is σ = 670277099520. Its totient is φ = 21897216000.

The previous prime is 125340415199. The next prime is 125340415201. The reversal of 125340415200 is 2514043521.

125340415200 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 40 + 415 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (125340415199) and next prime (125340415201).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125340415201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4043239185 + ... + 4043239215.

It is an arithmetic number, because the mean of its divisors is an integer number (193945920).

Almost surely, 2^125340415200 is an apocalyptic number.

125340415200 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 125340415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335138549760).

125340415200 is an abundant number, since it is smaller than the sum of its proper divisors (544936684320).

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

125340415200 is a wasteful number, since it uses less digits than its factorization.

125340415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 125340415200 its reverse (2514043521), we get a palindrome (127854458721).

The spelling of 125340415200 in words is "one hundred twenty-five billion, three hundred forty million, four hundred fifteen thousand, two hundred".