30426127200 has 1008 divisors, whose sum is σ = 132176227680. Its totient is φ = 6688604160.

The previous prime is 30426127187. The next prime is 30426127253. The reversal of 30426127200 is 272162403.

30426127200 is a `hidden beast` number, since 3 + 0 + 42 + 612 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 118389472 + ... + 118389728.

It is an arithmetic number, because the mean of its divisors is an integer number (131127210).

Almost surely, 2^30426127200 is an apocalyptic number.

30426127200 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 30426127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66088113840).

30426127200 is an abundant number, since it is smaller than the sum of its proper divisors (101750100480).

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

30426127200 is a wasteful number, since it uses less digits than its factorization.

30426127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 30426127200 its reverse (272162403), we get a palindrome (30698289603).

The spelling of 30426127200 in words is "thirty billion, four hundred twenty-six million, one hundred twenty-seven thousand, two hundred".