221033231203120 has 160 divisors (see below), whose sum is σ = 588380169830400. Its totient is φ = 75645658183680.

The previous prime is 221033231203097. The next prime is 221033231203171. The reversal of 221033231203120 is 21302132330122.

221033231203120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2600623825 + ... + 2600708815.

It is an arithmetic number, because the mean of its divisors is an integer number (3677376061440).

Almost surely, 2^{221033231203120} is an apocalyptic number.

221033231203120 is a gapful number since it is divisible by the number (20) 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 221033231203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294190084915200).

221033231203120 is an abundant number, since it is smaller than the sum of its proper divisors (367346938627280).

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

221033231203120 is a wasteful number, since it uses less digits than its factorization.

221033231203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93363 (or 93357 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 221033231203120 its reverse (21302132330122), we get a palindrome (242335363533242).

The spelling of 221033231203120 in words is "two hundred twenty-one trillion, thirty-three billion, two hundred thirty-one million, two hundred three thousand, one hundred twenty".