220511232000 has 672 divisors, whose sum is σ = 808556883264. Its totient is φ = 57802752000.

The previous prime is 220511231989. The next prime is 220511232017. The reversal of 220511232000 is 232115022.

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

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 47 ways as a sum of consecutive naturals, for example, 654335832 + ... + 654336168.

Almost surely, 2^220511232000 is an apocalyptic number.

220511232000 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 220511232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404278441632).

220511232000 is an abundant number, since it is smaller than the sum of its proper divisors (588045651264).

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

220511232000 is an equidigital number, since it uses as much as digits as its factorization.

220511232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 220511232000 its reverse (232115022), we get a palindrome (220743347022).

The spelling of 220511232000 in words is "two hundred twenty billion, five hundred eleven million, two hundred thirty-two thousand".