220011211000 has 128 divisors (see below), whose sum is σ = 590839142400. Its totient is φ = 75116227200.

The previous prime is 220011210959. The next prime is 220011211019. The reversal of 220011211000 is 112110022.

220011211000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1607247 + ... + 1738753.

It is an arithmetic number, because the mean of its divisors is an integer number (4615930800).

Almost surely, 2^220011211000 is an apocalyptic number.

220011211000 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 220011211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295419571200).

220011211000 is an abundant number, since it is smaller than the sum of its proper divisors (370827931400).

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

220011211000 is a wasteful number, since it uses less digits than its factorization.

220011211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131774 (or 131760 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220011211000 its reverse (112110022), we get a palindrome (220123321022).

It can be divided in two parts, 2 and 20011211000, that added together give a palindrome (20011211002).

The spelling of 220011211000 in words is "two hundred twenty billion, eleven million, two hundred eleven thousand".