30001251225600 has 3744 divisors, whose sum is σ = 127771422105600. Its totient is φ = 6937038028800.

The previous prime is 30001251225527. The next prime is 30001251225691. The reversal of 30001251225600 is 652215210003.

It is a happy number.

30001251225600 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 1 + 2 + 51 + 2 + 2 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 337092710356 + ... + 337092710444.

It is an arithmetic number, because the mean of its divisors is an integer number (34126982400).

Almost surely, 2^{30001251225600} is an apocalyptic number.

30001251225600 is a gapful number since it is divisible by the number (30) 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 30001251225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63885711052800).

30001251225600 is an abundant number, since it is smaller than the sum of its proper divisors (97770170880000).

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

30001251225600 is a wasteful number, since it uses less digits than its factorization.

30001251225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 30001251225600 its reverse (652215210003), we get a palindrome (30653466435603).

The spelling of 30001251225600 in words is "thirty trillion, one billion, two hundred fifty-one million, two hundred twenty-five thousand, six hundred".