220211211122112 has 224 divisors, whose sum is σ = 689785511870464. Its totient is φ = 60672737664000.

The previous prime is 220211211122059. The next prime is 220211211122137. The reversal of 220211211122112 is 211221112112022.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2452737 + ... + 21129087.

Almost surely, 2^{220211211122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220211211122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344892755935232).

220211211122112 is an abundant number, since it is smaller than the sum of its proper divisors (469574300748352).

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

220211211122112 is a wasteful number, since it uses less digits than its factorization.

220211211122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18676687 (or 18676677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 220211211122112 its reverse (211221112112022), we get a palindrome (431432323234134).

The spelling of 220211211122112 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twelve".