30221202220032 has 176 divisors, whose sum is σ = 85742734852800. Its totient is φ = 9436305162240.

The previous prime is 30221202220031. The next prime is 30221202220073. The reversal of 30221202220032 is 23002220212203.

It is a junction number, because it is equal to n+sod(n) for n = 30221202219990 and 30221202220008.

It is not an unprimeable number, because it can be changed into a prime (30221202220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2285932 + ... + 8103572.

Almost surely, 2^{30221202220032} is an apocalyptic number.

30221202220032 is a gapful number since it is divisible by the number (32) 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 30221202220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42871367426400).

30221202220032 is an abundant number, since it is smaller than the sum of its proper divisors (55521532632768).

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

30221202220032 is a wasteful number, since it uses less digits than its factorization.

30221202220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817772 (or 5817754 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 30221202220032 its reverse (23002220212203), we get a palindrome (53223422432235).

The spelling of 30221202220032 in words is "thirty trillion, two hundred twenty-one billion, two hundred two million, two hundred twenty thousand, thirty-two".