130221441312 has 96 divisors (see below), whose sum is σ = 356924232000. Its totient is φ = 41518568448.

The previous prime is 130221441269. The next prime is 130221441313. The reversal of 130221441312 is 213144122031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130221441313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79314 + ... + 516462.

It is an arithmetic number, because the mean of its divisors is an integer number (3717960750).

Almost surely, 2^130221441312 is an apocalyptic number.

130221441312 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 130221441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178462116000).

130221441312 is an abundant number, since it is smaller than the sum of its proper divisors (226702790688).

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

130221441312 is a wasteful number, since it uses less digits than its factorization.

130221441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437298 (or 437290 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130221441312 its reverse (213144122031), we get a palindrome (343365563343).

The spelling of 130221441312 in words is "one hundred thirty billion, two hundred twenty-one million, four hundred forty-one thousand, three hundred twelve".