10123132111120 has 120 divisors (see below), whose sum is σ = 27392535955224. Its totient is φ = 3469064675328.

The previous prime is 10123132111093. The next prime is 10123132111189. The reversal of 10123132111120 is 2111123132101.

It can be written as a sum of positive squares in 4 ways, for example, as 402280673536 + 9720851437584 = 634256^2 + 3117828^2 .

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 23 ways as a sum of consecutive naturals, for example, 7266474 + ... + 8546806.

Almost surely, 2^{10123132111120} is an apocalyptic number.

10123132111120 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 10123132111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696267977612).

10123132111120 is an abundant number, since it is smaller than the sum of its proper divisors (17269403844104).

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

10123132111120 is a wasteful number, since it uses less digits than its factorization.

10123132111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282377 (or 1282364 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10123132111120 its reverse (2111123132101), we get a palindrome (12234255243221).

It can be divided in two parts, 101231 and 32111120, that added together give a triangular number (32212351 = T₈₀₂₆).

The spelling of 10123132111120 in words is "ten trillion, one hundred twenty-three billion, one hundred thirty-two million, one hundred eleven thousand, one hundred twenty".