130211415200 has 144 divisors (see below), whose sum is σ = 330289407000. Its totient is φ = 50066903040.

The previous prime is 130211415199. The next prime is 130211415209. The reversal of 130211415200 is 2514112031.

It can be written as a sum of positive squares in 12 ways, for example, as 63732012304 + 66479402896 = 252452^2 + 257836^2 .

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

It is not an unprimeable number, because it can be changed into a prime (130211415209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5300546 + ... + 5325054.

Almost surely, 2^130211415200 is an apocalyptic number.

130211415200 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 130211415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165144703500).

130211415200 is an abundant number, since it is smaller than the sum of its proper divisors (200077991800).

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

130211415200 is a wasteful number, since it uses less digits than its factorization.

130211415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24787 (or 24774 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 130211415200 its reverse (2514112031), we get a palindrome (132725527231).

The spelling of 130211415200 in words is "one hundred thirty billion, two hundred eleven million, four hundred fifteen thousand, two hundred".