220341152000 has 144 divisors (see below), whose sum is σ = 551756844912. Its totient is φ = 87677337600.

The previous prime is 220341151981. The next prime is 220341152071. The reversal of 220341152000 is 251143022.

It can be written as a sum of positive squares in 8 ways, for example, as 78194055424 + 142147096576 = 279632^2 + 377024^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6158162 + ... + 6193838.

Almost surely, 2^220341152000 is an apocalyptic number.

220341152000 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 220341152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275878422456).

220341152000 is an abundant number, since it is smaller than the sum of its proper divisors (331415692912).

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

220341152000 is an equidigital number, since it uses as much as digits as its factorization.

220341152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35901 (or 35877 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 220341152000 its reverse (251143022), we get a palindrome (220592295022).

The spelling of 220341152000 in words is "two hundred twenty billion, three hundred forty-one million, one hundred fifty-two thousand".