30121011200 has 288 divisors, whose sum is σ = 85956998400. Its totient is φ = 10254090240.

The previous prime is 30121011197. The next prime is 30121011203. The reversal of 30121011200 is 211012103.

It is an interprime number because it is at equal distance from previous prime (30121011197) and next prime (30121011203).

It is not an unprimeable number, because it can be changed into a prime (30121011203) 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 23 ways as a sum of consecutive naturals, for example, 82073417 + ... + 82073783.

It is an arithmetic number, because the mean of its divisors is an integer number (298461800).

Almost surely, 2^30121011200 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 30121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42978499200).

30121011200 is an abundant number, since it is smaller than the sum of its proper divisors (55835987200).

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

30121011200 is a wasteful number, since it uses less digits than its factorization.

30121011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 30121011200 its reverse (211012103), we get a palindrome (30332023303).

The spelling of 30121011200 in words is "thirty billion, one hundred twenty-one million, eleven thousand, two hundred".