81224000130 has 128 divisors (see below), whose sum is σ = 240018444288. Its totient is φ = 17130569472.

The previous prime is 81224000129. The next prime is 81224000131. The reversal of 81224000130 is 3100042218.

It is an interprime number because it is at equal distance from previous prime (81224000129) and next prime (81224000131).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 81224000097 and 81224000106.

It is not an unprimeable number, because it can be changed into a prime (81224000131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9941307 + ... + 9949473.

It is an arithmetic number, because the mean of its divisors is an integer number (1875144096).

Almost surely, 2^81224000130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81224000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120009222144).

81224000130 is an abundant number, since it is smaller than the sum of its proper divisors (158794444158).

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

81224000130 is a wasteful number, since it uses less digits than its factorization.

81224000130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11840.

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

Adding to 81224000130 its reverse (3100042218), we get a palindrome (84324042348).

The spelling of 81224000130 in words is "eighty-one billion, two hundred twenty-four million, one hundred thirty", and thus it is an aban number.