10112112131232 has 96 divisors (see below), whose sum is σ = 27703169883648. Its totient is φ = 3223595783936.

The previous prime is 10112112131203. The next prime is 10112112131237. The reversal of 10112112131232 is 23213121121101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10112112131199 and 10112112131208.

It is not an unprimeable number, because it can be changed into a prime (10112112131237) 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, 12509443 + ... + 13293245.

It is an arithmetic number, because the mean of its divisors is an integer number (288574686288).

Almost surely, 2^{10112112131232} is an apocalyptic number.

10112112131232 is a gapful number since it is divisible by the number (12) 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 10112112131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851584941824).

10112112131232 is an abundant number, since it is smaller than the sum of its proper divisors (17591057752416).

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

10112112131232 is a wasteful number, since it uses less digits than its factorization.

10112112131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789682 (or 789674 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10112112131232 its reverse (23213121121101), we get a palindrome (33325233252333).

The spelling of 10112112131232 in words is "ten trillion, one hundred twelve billion, one hundred twelve million, one hundred thirty-one thousand, two hundred thirty-two".