2231301023120 has 320 divisors, whose sum is σ = 6006727419840. Its totient is φ = 763477622784.

The previous prime is 2231301023101. The next prime is 2231301023123. The reversal of 2231301023120 is 213201031322.

It can be written as a sum of positive squares in 32 ways, for example, as 1453934347264 + 777366675856 = 1205792^2 + 881684^2 .

It is a super-3 number, since 3×2231301023120³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2231301023092 and 2231301023101.

It is not an unprimeable number, because it can be changed into a prime (2231301023123) 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 63 ways as a sum of consecutive naturals, for example, 1044126692 + ... + 1044128828.

It is an arithmetic number, because the mean of its divisors is an integer number (18771023187).

Almost surely, 2^{2231301023120} is an apocalyptic number.

2231301023120 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 2231301023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003363709920).

2231301023120 is an abundant number, since it is smaller than the sum of its proper divisors (3775426396720).

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

2231301023120 is a wasteful number, since it uses less digits than its factorization.

2231301023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2231301023120 its reverse (213201031322), we get a palindrome (2444502054442).

The spelling of 2231301023120 in words is "two trillion, two hundred thirty-one billion, three hundred one million, twenty-three thousand, one hundred twenty".