130705411200 has 1152 divisors, whose sum is σ = 564943662720. Its totient is φ = 25916866560.

The previous prime is 130705411189. The next prime is 130705411223. The reversal of 130705411200 is 2114507031.

It is a super-2 number, since 2×130705411200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 193065262 + ... + 193065938.

It is an arithmetic number, because the mean of its divisors is an integer number (490402485).

Almost surely, 2^130705411200 is an apocalyptic number.

130705411200 is a gapful number since it is divisible by the number (10) 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 130705411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282471831360).

130705411200 is an abundant number, since it is smaller than the sum of its proper divisors (434238251520).

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

130705411200 is a wasteful number, since it uses less digits than its factorization.

130705411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 130705411200 its reverse (2114507031), we get a palindrome (132819918231).

The spelling of 130705411200 in words is "one hundred thirty billion, seven hundred five million, four hundred eleven thousand, two hundred".