12561223133130 has 256 divisors, whose sum is σ = 36893721231360. Its totient is φ = 2676432844800.

The previous prime is 12561223133101. The next prime is 12561223133143. The reversal of 12561223133130 is 3133132216521.

It is a junction number, because it is equal to n+sod(n) for n = 12561223133091 and 12561223133100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20788032 + ... + 21383748.

It is an arithmetic number, because the mean of its divisors is an integer number (144116098560).

Almost surely, 2^{12561223133130} is an apocalyptic number.

12561223133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12561223133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446860615680).

12561223133130 is an abundant number, since it is smaller than the sum of its proper divisors (24332498098230).

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

12561223133130 is a wasteful number, since it uses less digits than its factorization.

12561223133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595885.

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 12561223133130 its reverse (3133132216521), we get a palindrome (15694355349651).

The spelling of 12561223133130 in words is "twelve trillion, five hundred sixty-one billion, two hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty".