30121123200 has 288 divisors, whose sum is σ = 115411039560. Its totient is φ = 6884720640.

The previous prime is 30121123189. The next prime is 30121123211. The reversal of 30121123200 is 232112103.

It is an interprime number because it is at equal distance from previous prime (30121123189) and next prime (30121123211).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30121123200.

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 35 ways as a sum of consecutive naturals, for example, 438384 + ... + 502416.

Almost surely, 2^30121123200 is an apocalyptic number.

30121123200 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 30121123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57705519780).

30121123200 is an abundant number, since it is smaller than the sum of its proper divisors (85289916360).

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

30121123200 is a wasteful number, since it uses less digits than its factorization.

30121123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64074 (or 64050 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30121123200 its reverse (232112103), we get a palindrome (30353235303).

The spelling of 30121123200 in words is "thirty billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred".