130122436224 has 256 divisors, whose sum is σ = 388935106560. Its totient is φ = 38204006400.

The previous prime is 130122436183. The next prime is 130122436229. The reversal of 130122436224 is 422634221031.

It is a junction number, because it is equal to n+sod(n) for n = 130122436191 and 130122436200.

It is not an unprimeable number, because it can be changed into a prime (130122436229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23064444 + ... + 23070084.

It is an arithmetic number, because the mean of its divisors is an integer number (1519277760).

Almost surely, 2^130122436224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130122436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194467553280).

130122436224 is an abundant number, since it is smaller than the sum of its proper divisors (258812670336).

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

130122436224 is a wasteful number, since it uses less digits than its factorization.

130122436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 130122436224 its reverse (422634221031), we get a palindrome (552756657255).

The spelling of 130122436224 in words is "one hundred thirty billion, one hundred twenty-two million, four hundred thirty-six thousand, two hundred twenty-four".