220111020000 has 600 divisors, whose sum is σ = 819162640296. Its totient is φ = 57953664000.

The previous prime is 220111019971. The next prime is 220111020007. The reversal of 220111020000 is 20111022.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×220111020000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220111020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 134459182 + ... + 134460818.

Almost surely, 2^220111020000 is an apocalyptic number.

220111020000 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 220111020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409581320148).

220111020000 is an abundant number, since it is smaller than the sum of its proper divisors (599051620296).

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

220111020000 is an equidigital number, since it uses as much as digits as its factorization.

220111020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220111020000 its reverse (20111022), we get a palindrome (220131131022).

The spelling of 220111020000 in words is "two hundred twenty billion, one hundred eleven million, twenty thousand".