10032241142220 has 288 divisors, whose sum is σ = 31907049672960. Its totient is φ = 2351971776000.

The previous prime is 10032241142219. The next prime is 10032241142221. The reversal of 10032241142220 is 2224114223001.

10032241142220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10032241142219) and next prime (10032241142221).

It is not an unprimeable number, because it can be changed into a prime (10032241142221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31371091 + ... + 31689269.

It is an arithmetic number, because the mean of its divisors is an integer number (110788366920).

Almost surely, 2^{10032241142220} is an apocalyptic number.

10032241142220 is a gapful number since it is divisible by the number (10) 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 10032241142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953524836480).

10032241142220 is an abundant number, since it is smaller than the sum of its proper divisors (21874808530740).

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

10032241142220 is a wasteful number, since it uses less digits than its factorization.

10032241142220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318357 (or 318344 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10032241142220 its reverse (2224114223001), we get a palindrome (12256355365221).

The spelling of 10032241142220 in words is "ten trillion, thirty-two billion, two hundred forty-one million, one hundred forty-two thousand, two hundred twenty".