10322123131120 has 80 divisors (see below), whose sum is σ = 25265113777440. Its totient is φ = 3911065178112.

The previous prime is 10322123131093. The next prime is 10322123131123. The reversal of 10322123131120 is 2113132122301.

10322123131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×10322123131120⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10322123131091 and 10322123131100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322123131123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12202204 + ... + 13020676.

It is an arithmetic number, because the mean of its divisors is an integer number (315813922218).

Almost surely, 2^{10322123131120} is an apocalyptic number.

10322123131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322123131120 is an abundant number, since it is smaller than the sum of its proper divisors (14942990646320).

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

10322123131120 is a wasteful number, since it uses less digits than its factorization.

10322123131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826802 (or 826796 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10322123131120 its reverse (2113132122301), we get a palindrome (12435255253421).

The spelling of 10322123131120 in words is "ten trillion, three hundred twenty-two billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred twenty".