220104214000 has 160 divisors (see below), whose sum is σ = 587594891520. Its totient is φ = 79072928000.

The previous prime is 220104213997. The next prime is 220104214013. The reversal of 220104214000 is 412401022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1765731 + ... + 1886269.

It is an arithmetic number, because the mean of its divisors is an integer number (3672468072).

Almost surely, 2^220104214000 is an apocalyptic number.

220104214000 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 220104214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293797445760).

220104214000 is an abundant number, since it is smaller than the sum of its proper divisors (367490677520).

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

220104214000 is a wasteful number, since it uses less digits than its factorization.

220104214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120656 (or 120640 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220104214000 its reverse (412401022), we get a palindrome (220516615022).

The spelling of 220104214000 in words is "two hundred twenty billion, one hundred four million, two hundred fourteen thousand".