10122222432 has 144 divisors (see below), whose sum is σ = 30951087552. Its totient is φ = 2888121600.

The previous prime is 10122222401. The next prime is 10122222463. The reversal of 10122222432 is 23422222101.

10122222432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10122222401) and next prime (10122222463).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10122222399 and 10122222408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6824763 + ... + 6826245.

It is an arithmetic number, because the mean of its divisors is an integer number (214938108).

Almost surely, 2^10122222432 is an apocalyptic number.

10122222432 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 10122222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475543776).

10122222432 is an abundant number, since it is smaller than the sum of its proper divisors (20828865120).

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

10122222432 is a wasteful number, since it uses less digits than its factorization.

10122222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10122222432 its reverse (23422222101), we get a palindrome (33544444533).

The spelling of 10122222432 in words is "ten billion, one hundred twenty-two million, two hundred twenty-two thousand, four hundred thirty-two".