125222314011200 has 252 divisors, whose sum is σ = 361980152085492. Its totient is φ = 42508279296000.

The previous prime is 125222314011191. The next prime is 125222314011209. The reversal of 125222314011200 is 2110413222521.

It is an interprime number because it is at equal distance from previous prime (125222314011191) and next prime (125222314011209).

It can be written as a sum of positive squares in 6 ways, for example, as 4730068216384 + 120492245794816 = 2174872^2 + 10976896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 125222314011200.

It is not an unprimeable number, because it can be changed into a prime (125222314011209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11354 + ... + 15825446.

Almost surely, 2^{125222314011200} is an apocalyptic number.

125222314011200 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 125222314011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180990076042746).

125222314011200 is an abundant number, since it is smaller than the sum of its proper divisors (236757838074292).

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

125222314011200 is a wasteful number, since it uses less digits than its factorization.

125222314011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15814230 (or 15814208 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 125222314011200 its reverse (2110413222521), we get a palindrome (127332727233721).

The spelling of 125222314011200 in words is "one hundred twenty-five trillion, two hundred twenty-two billion, three hundred fourteen million, eleven thousand, two hundred".