30144123200 has 168 divisors, whose sum is σ = 78239843520. Its totient is φ = 11399270400.

The previous prime is 30144123193. The next prime is 30144123209. The reversal of 30144123200 is 232144103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144123209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23133749 + ... + 23135051.

Almost surely, 2^30144123200 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 30144123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39119921760).

30144123200 is an abundant number, since it is smaller than the sum of its proper divisors (48095720320).

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

30144123200 is a wasteful number, since it uses less digits than its factorization.

30144123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30144123200 its reverse (232144103), we get a palindrome (30376267303).

It can be divided in two parts, 3014 and 4123200, that added together give a palindrome (4126214).

The spelling of 30144123200 in words is "thirty billion, one hundred forty-four million, one hundred twenty-three thousand, two hundred".