130221416000 has 112 divisors (see below), whose sum is σ = 347300793840. Its totient is φ = 48081715200.

The previous prime is 130221415993. The next prime is 130221416023. The reversal of 130221416000 is 614122031.

It can be written as a sum of positive squares in 8 ways, for example, as 101725275136 + 28496140864 = 318944^2 + 168808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 522065 + ... + 730064.

It is an arithmetic number, because the mean of its divisors is an integer number (3100899945).

Almost surely, 2^130221416000 is an apocalyptic number.

130221416000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130221416000 is an abundant number, since it is smaller than the sum of its proper divisors (217079377840).

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

130221416000 is a wasteful number, since it uses less digits than its factorization.

130221416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252169 (or 1252149 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 130221416000 its reverse (614122031), we get a palindrome (130835538031).

The spelling of 130221416000 in words is "one hundred thirty billion, two hundred twenty-one million, four hundred sixteen thousand".