30121811302400 has 288 divisors, whose sum is σ = 78664587019200. Its totient is φ = 11407321497600.

The previous prime is 30121811302357. The next prime is 30121811302421. The reversal of 30121811302400 is 420311812103.

30121811302400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30121811302400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30121811302400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676125415 + ... + 1676143385.

It is an arithmetic number, because the mean of its divisors is an integer number (273140927150).

Almost surely, 2^{30121811302400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30121811302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39332293509600).

30121811302400 is an abundant number, since it is smaller than the sum of its proper divisors (48542775716800).

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

30121811302400 is a wasteful number, since it uses less digits than its factorization.

30121811302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19745 (or 19720 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 30121811302400 in words is "thirty trillion, one hundred twenty-one billion, eight hundred eleven million, three hundred two thousand, four hundred".