12551125041000 has 3840 divisors, whose sum is σ = 59785237512000. Its totient is φ = 2424619008000.

The previous prime is 12551125040969. The next prime is 12551125041029. The reversal of 12551125041000 is 14052115521.

It is a happy number.

12551125041000 is a `hidden beast` number, since 1 + 2 + 5 + 51 + 1 + 2 + 504 + 100 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 6627051381636 + 5924073659364 = 2574306^2 + 2433942^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 35963108826 + ... + 35963109174.

Almost surely, 2^{12551125041000} is an apocalyptic number.

12551125041000 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 12551125041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29892618756000).

12551125041000 is an abundant number, since it is smaller than the sum of its proper divisors (47234112471000).

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

12551125041000 is a wasteful number, since it uses less digits than its factorization.

12551125041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 12551125041000 its reverse (14052115521), we get a palindrome (12565177156521).

The spelling of 12551125041000 in words is "twelve trillion, five hundred fifty-one billion, one hundred twenty-five million, forty-one thousand".