30121633382400 has 1728 divisors, whose sum is σ = 133965223176960. Its totient is φ = 6477683097600.

The previous prime is 30121633382387. The next prime is 30121633382447. The reversal of 30121633382400 is 428333612103.

30121633382400 is a `hidden beast` number, since 3 + 0 + 1 + 21 + 63 + 338 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10528356970 + ... + 10528359830.

It is an arithmetic number, because the mean of its divisors is an integer number (77526170820).

Almost surely, 2^{30121633382400} is an apocalyptic number.

30121633382400 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 30121633382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66982611588480).

30121633382400 is an abundant number, since it is smaller than the sum of its proper divisors (103843589794560).

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

30121633382400 is an equidigital number, since it uses as much as digits as its factorization.

30121633382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 30121633382400 its reverse (428333612103), we get a palindrome (30549966994503).

The spelling of 30121633382400 in words is "thirty trillion, one hundred twenty-one billion, six hundred thirty-three million, three hundred eighty-two thousand, four hundred".