10122116024832 has 320 divisors, whose sum is σ = 32819786613504. Its totient is φ = 2706171494400.

The previous prime is 10122116024807. The next prime is 10122116024833. The reversal of 10122116024832 is 23842061122101.

It is a junction number, because it is equal to n+sod(n) for n = 10122116024793 and 10122116024802.

It is not an unprimeable number, because it can be changed into a prime (10122116024833) 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, 31461582 + ... + 31781682.

Almost surely, 2^{10122116024832} is an apocalyptic number.

10122116024832 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 10122116024832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409893306752).

10122116024832 is an abundant number, since it is smaller than the sum of its proper divisors (22697670588672).

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

10122116024832 is a wasteful number, since it uses less digits than its factorization.

10122116024832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320319 (or 320303 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 10122116024832 its reverse (23842061122101), we get a palindrome (33964177146933).

The spelling of 10122116024832 in words is "ten trillion, one hundred twenty-two billion, one hundred sixteen million, twenty-four thousand, eight hundred thirty-two".