130233124212024 has 256 divisors, whose sum is σ = 349424386375680. Its totient is φ = 40306545377280.

The previous prime is 130233124211959. The next prime is 130233124212049. The reversal of 130233124212024 is 420212421332031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130233124211982 and 130233124212000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4805104857 + ... + 4805131959.

It is an arithmetic number, because the mean of its divisors is an integer number (1364939009280).

Almost surely, 2^{130233124212024} 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 130233124212024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174712193187840).

130233124212024 is an abundant number, since it is smaller than the sum of its proper divisors (219191262163656).

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

130233124212024 is a wasteful number, since it uses less digits than its factorization.

130233124212024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27830 (or 27826 counting only the distinct ones).

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

Adding to 130233124212024 its reverse (420212421332031), we get a palindrome (550445545544055).

The spelling of 130233124212024 in words is "one hundred thirty trillion, two hundred thirty-three billion, one hundred twenty-four million, two hundred twelve thousand, twenty-four".