30121025852160 has 288 divisors, whose sum is σ = 107331354567360. Its totient is φ = 7998942412800.

The previous prime is 30121025852123. The next prime is 30121025852173. The reversal of 30121025852160 is 6125852012103.

30121025852160 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 10 + 2 + 585 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6520750 + ... + 10137170.

It is an arithmetic number, because the mean of its divisors is an integer number (372678314470).

Almost surely, 2^{30121025852160} is an apocalyptic number.

30121025852160 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 30121025852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53665677283680).

30121025852160 is an abundant number, since it is smaller than the sum of its proper divisors (77210328715200).

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

30121025852160 is a wasteful number, since it uses less digits than its factorization.

30121025852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616692 (or 3616672 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 30121025852160 its reverse (6125852012103), we get a palindrome (36246877864263).

The spelling of 30121025852160 in words is "thirty trillion, one hundred twenty-one billion, twenty-five million, eight hundred fifty-two thousand, one hundred sixty".