220013203111200 has 432 divisors, whose sum is σ = 781223672063016. Its totient is φ = 58262103244800.

The previous prime is 220013203111181. The next prime is 220013203111259. The reversal of 220013203111200 is 2111302310022.

220013203111200 is a `hidden beast` number, since 2 + 20 + 0 + 1 + 320 + 311 + 12 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28561371472656 + 191451831638544 = 5344284^2 + 13836612^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1945361854 + ... + 1945474946.

Almost surely, 2^{220013203111200} is an apocalyptic number.

220013203111200 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 220013203111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390611836031508).

220013203111200 is an abundant number, since it is smaller than the sum of its proper divisors (561210468951816).

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

220013203111200 is a wasteful number, since it uses less digits than its factorization.

220013203111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114997 (or 114981 counting only the distinct ones).

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

Adding to 220013203111200 its reverse (2111302310022), we get a palindrome (222124505421222).

The spelling of 220013203111200 in words is "two hundred twenty trillion, thirteen billion, two hundred three million, one hundred eleven thousand, two hundred".