220111310123120 has 160 divisors (see below), whose sum is σ = 553656614333760. Its totient is φ = 80898656256000.

The previous prime is 220111310123119. The next prime is 220111310123143. The reversal of 220111310123120 is 21321013111022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220111310123092 and 220111310123101.

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, 1298591336 + ... + 1298760824.

It is an arithmetic number, because the mean of its divisors is an integer number (3460353839586).

Almost surely, 2^{220111310123120} is an apocalyptic number.

220111310123120 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 220111310123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276828307166880).

220111310123120 is an abundant number, since it is smaller than the sum of its proper divisors (333545304210640).

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

220111310123120 is a wasteful number, since it uses less digits than its factorization.

220111310123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175243 (or 175237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 220111310123120 its reverse (21321013111022), we get a palindrome (241432323234142).

The spelling of 220111310123120 in words is "two hundred twenty trillion, one hundred eleven billion, three hundred ten million, one hundred twenty-three thousand, one hundred twenty".