30121660800 has 1728 divisors, whose sum is σ = 145377123840. Its totient is φ = 5765529600.

The previous prime is 30121660781. The next prime is 30121660801. The reversal of 30121660800 is 806612103.

30121660800 is a `hidden beast` number, since 30 + 1 + 21 + 6 + 608 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121660801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 640886377 + ... + 640886423.

It is an arithmetic number, because the mean of its divisors is an integer number (84130280).

Almost surely, 2^30121660800 is an apocalyptic number.

30121660800 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 30121660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72688561920).

30121660800 is an abundant number, since it is smaller than the sum of its proper divisors (115255463040).

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

30121660800 is a wasteful number, since it uses less digits than its factorization.

30121660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 30121660800 in words is "thirty billion, one hundred twenty-one million, six hundred sixty thousand, eight hundred".