220110001111000 has 1536 divisors, whose sum is σ = 722804496261120. Its totient is φ = 61641990144000.

The previous prime is 220110001110943. The next prime is 220110001111073. The reversal of 220110001111000 is 111100011022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63560495269 + ... + 63560498731.

It is an arithmetic number, because the mean of its divisors is an integer number (470575843920).

Almost surely, 2^{220110001111000} is an apocalyptic number.

220110001111000 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 220110001111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361402248130560).

220110001111000 is an abundant number, since it is smaller than the sum of its proper divisors (502694495150120).

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

220110001111000 is a wasteful number, since it uses less digits than its factorization.

220110001111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 220110001111000 its reverse (111100011022), we get a palindrome (220221101122022).

The spelling of 220110001111000 in words is "two hundred twenty trillion, one hundred ten billion, one million, one hundred eleven thousand".