30244424325200 has 120 divisors (see below), whose sum is σ = 73433535678360. Its totient is φ = 11969669376000.

The previous prime is 30244424325103. The next prime is 30244424325233. The reversal of 30244424325200 is 252342444203.

It can be written as a sum of positive squares in 12 ways, for example, as 454092690496 + 29790331634704 = 673864^2 + 5458052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30068822 + ... + 31058378.

It is an arithmetic number, because the mean of its divisors is an integer number (611946130653).

Almost surely, 2^{30244424325200} 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 30244424325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36716767839180).

30244424325200 is an abundant number, since it is smaller than the sum of its proper divisors (43189111353160).

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

30244424325200 is a wasteful number, since it uses less digits than its factorization.

30244424325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990385 (or 990374 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 30244424325200 its reverse (252342444203), we get a palindrome (30496766769403).

The spelling of 30244424325200 in words is "thirty trillion, two hundred forty-four billion, four hundred twenty-four million, three hundred twenty-five thousand, two hundred".