220211122112000 has 160 divisors (see below), whose sum is σ = 549454289772960. Its totient is φ = 88029251788800.

The previous prime is 220211122111963. The next prime is 220211122112039. The reversal of 220211122112000 is 211221112022.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 220211122112000.

It is a congruent number.

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, 101130731 + ... + 103285269.

It is an arithmetic number, because the mean of its divisors is an integer number (3434089311081).

Almost surely, 2^{220211122112000} is an apocalyptic number.

220211122112000 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 220211122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274727144886480).

220211122112000 is an abundant number, since it is smaller than the sum of its proper divisors (329243167660960).

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

220211122112000 is an equidigital number, since it uses as much as digits as its factorization.

220211122112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156169 (or 2156143 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220211122112000 its reverse (211221112022), we get a palindrome (220422343224022).

The spelling of 220211122112000 in words is "two hundred twenty trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twelve thousand".