30012702208224 has 384 divisors, whose sum is σ = 89343900979200. Its totient is φ = 8764324208640.

The previous prime is 30012702208201. The next prime is 30012702208249. The reversal of 30012702208224 is 42280220721003.

It is a Cunningham number, because it is equal to 5478385²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4996285029 + ... + 4996291035.

It is an arithmetic number, because the mean of its divisors is an integer number (232666408800).

Almost surely, 2^{30012702208224} is an apocalyptic number.

30012702208224 is a gapful number since it is divisible by the number (34) 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 30012702208224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44671950489600).

30012702208224 is an abundant number, since it is smaller than the sum of its proper divisors (59331198770976).

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

30012702208224 is a wasteful number, since it uses less digits than its factorization.

30012702208224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8846 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 30012702208224 its reverse (42280220721003), we get a palindrome (72292922929227).

The spelling of 30012702208224 in words is "thirty trillion, twelve billion, seven hundred two million, two hundred eight thousand, two hundred twenty-four".