10120413224320 has 384 divisors, whose sum is σ = 30320208875520. Its totient is φ = 3160387584000.

The previous prime is 10120413224291. The next prime is 10120413224357. The reversal of 10120413224320 is 2342231402101.

It is a super-2 number, since 2×10120413224320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 40010245 + ... + 40262395.

It is an arithmetic number, because the mean of its divisors is an integer number (78958877280).

Almost surely, 2^{10120413224320} is an apocalyptic number.

10120413224320 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 10120413224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160104437760).

10120413224320 is an abundant number, since it is smaller than the sum of its proper divisors (20199795651200).

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

10120413224320 is a wasteful number, since it uses less digits than its factorization.

10120413224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252242 (or 252213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10120413224320 its reverse (2342231402101), we get a palindrome (12462644626421).

The spelling of 10120413224320 in words is "ten trillion, one hundred twenty billion, four hundred thirteen million, two hundred twenty-four thousand, three hundred twenty".