125001410415200 has 288 divisors, whose sum is σ = 350451812148480. Its totient is φ = 43059098880000.

The previous prime is 125001410415199. The next prime is 125001410415209. The reversal of 125001410415200 is 2514014100521.

It is a happy number.

It is a super-3 number, since 3×125001410415200³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125001410415200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125001410415209) 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 47 ways as a sum of consecutive naturals, for example, 2713800170 + ... + 2713846230.

It is an arithmetic number, because the mean of its divisors is an integer number (1216846569960).

Almost surely, 2^{125001410415200} is an apocalyptic number.

125001410415200 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 125001410415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175225906074240).

125001410415200 is an abundant number, since it is smaller than the sum of its proper divisors (225450401733280).

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

125001410415200 is a wasteful number, since it uses less digits than its factorization.

125001410415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62342 (or 62329 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 125001410415200 its reverse (2514014100521), we get a palindrome (127515424515721).

The spelling of 125001410415200 in words is "one hundred twenty-five trillion, one billion, four hundred ten million, four hundred fifteen thousand, two hundred".