220130611200 has 624 divisors, whose sum is σ = 817584992640. Its totient is φ = 58056376320.

The previous prime is 220130611193. The next prime is 220130611241. The reversal of 220130611200 is 2116031022.

220130611200 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 30 + 611 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284774014 + ... + 284774786.

It is an arithmetic number, because the mean of its divisors is an integer number (1310232360).

Almost surely, 2^220130611200 is an apocalyptic number.

220130611200 is a gapful number since it is divisible by the number (20) 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 220130611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408792496320).

220130611200 is an abundant number, since it is smaller than the sum of its proper divisors (597454381440).

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

220130611200 is a wasteful number, since it uses less digits than its factorization.

220130611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220130611200 its reverse (2116031022), we get a palindrome (222246642222).

The spelling of 220130611200 in words is "two hundred twenty billion, one hundred thirty million, six hundred eleven thousand, two hundred".