220011122100000 has 864 divisors, whose sum is σ = 916059782296512. Its totient is φ = 45716563200000.

The previous prime is 220011122099963. The next prime is 220011122100001. The reversal of 220011122100000 is 1221110022.

It is a super-2 number, since 2×220011122100000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (220011122100001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 161019694 + ... + 162380306.

It is an arithmetic number, because the mean of its divisors is an integer number (1060254377658).

Almost surely, 2^{220011122100000} is an apocalyptic number.

220011122100000 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 220011122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458029891148256).

220011122100000 is an abundant number, since it is smaller than the sum of its proper divisors (696048660196512).

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

220011122100000 is a wasteful number, since it uses less digits than its factorization.

220011122100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360676 (or 1360641 counting only the distinct ones).

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

Adding to 220011122100000 its reverse (1221110022), we get a palindrome (220012343210022).

The spelling of 220011122100000 in words is "two hundred twenty trillion, eleven billion, one hundred twenty-two million, one hundred thousand".