30221012032224 has 192 divisors, whose sum is σ = 86292639014400. Its totient is φ = 9205214164992.

The previous prime is 30221012032199. The next prime is 30221012032243. The reversal of 30221012032224 is 42223021012203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30221012032194 and 30221012032203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373894087 + ... + 373974905.

It is an arithmetic number, because the mean of its divisors is an integer number (449440828200).

Almost surely, 2^{30221012032224} 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 30221012032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43146319507200).

30221012032224 is an abundant number, since it is smaller than the sum of its proper divisors (56071626982176).

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

30221012032224 is a wasteful number, since it uses less digits than its factorization.

30221012032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83857 (or 83849 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30221012032224 its reverse (42223021012203), we get a palindrome (72444033044427).

The spelling of 30221012032224 in words is "thirty trillion, two hundred twenty-one billion, twelve million, thirty-two thousand, two hundred twenty-four".