125221075200 has 1080 divisors, whose sum is σ = 528428006568. Its totient is φ = 28983951360.

The previous prime is 125221075193. The next prime is 125221075207. The reversal of 125221075200 is 2570122521.

125221075200 is a `hidden beast` number, since 12 + 5 + 22 + 107 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125221075193) and next prime (125221075207).

It can be written as a sum of positive squares in 12 ways, for example, as 7665352704 + 117555722496 = 87552^2 + 342864^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (125221075207) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 114565854 + ... + 114566946.

Almost surely, 2^125221075200 is an apocalyptic number.

125221075200 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 125221075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264214003284).

125221075200 is an abundant number, since it is smaller than the sum of its proper divisors (403206931368).

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

125221075200 is a wasteful number, since it uses less digits than its factorization.

125221075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 125221075200 its reverse (2570122521), we get a palindrome (127791197721).

The spelling of 125221075200 in words is "one hundred twenty-five billion, two hundred twenty-one million, seventy-five thousand, two hundred".