220011211200 has 336 divisors, whose sum is σ = 804203241984. Its totient is φ = 52200652800.

The previous prime is 220011211169. The next prime is 220011211219. The reversal of 220011211200 is 2112110022.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2437272 + ... + 2525928.

Almost surely, 2^220011211200 is an apocalyptic number.

220011211200 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 220011211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402101620992).

220011211200 is an abundant number, since it is smaller than the sum of its proper divisors (584192030784).

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

220011211200 is a wasteful number, since it uses less digits than its factorization.

220011211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88740 (or 88725 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220011211200 its reverse (2112110022), we get a palindrome (222123321222).

The spelling of 220011211200 in words is "two hundred twenty billion, eleven million, two hundred eleven thousand, two hundred".