3000125122560 has 2304 divisors, whose sum is σ = 12363466752000. Its totient is φ = 693703802880.

The previous prime is 3000125122549. The next prime is 3000125122567. The reversal of 3000125122560 is 652215210003.

It is a happy number.

3000125122560 is a `hidden beast` number, since 30 + 0 + 0 + 1 + 2 + 51 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (3000125122567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33709270996 + ... + 33709271084.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088000).

Almost surely, 2^{3000125122560} is an apocalyptic number.

3000125122560 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 3000125122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181733376000).

3000125122560 is an abundant number, since it is smaller than the sum of its proper divisors (9363341629440).

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

3000125122560 is a wasteful number, since it uses less digits than its factorization.

3000125122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

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

The spelling of 3000125122560 in words is "three trillion, one hundred twenty-five million, one hundred twenty-two thousand, five hundred sixty".