10114124232 has 128 divisors (see below), whose sum is σ = 27565056000. Its totient is φ = 3080747520.

The previous prime is 10114124203. The next prime is 10114124239. The reversal of 10114124232 is 23242141101.

It is a junction number, because it is equal to n+sod(n) for n = 10114124199 and 10114124208.

It is not an unprimeable number, because it can be changed into a prime (10114124239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5073828 + ... + 5075820.

It is an arithmetic number, because the mean of its divisors is an integer number (215352000).

Almost surely, 2^10114124232 is an apocalyptic number.

10114124232 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 10114124232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782528000).

10114124232 is an abundant number, since it is smaller than the sum of its proper divisors (17450931768).

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

10114124232 is a wasteful number, since it uses less digits than its factorization.

10114124232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10114124232 its reverse (23242141101), we get a palindrome (33356265333).

The spelling of 10114124232 in words is "ten billion, one hundred fourteen million, one hundred twenty-four thousand, two hundred thirty-two".