220121122000 has 160 divisors (see below), whose sum is σ = 574356051360. Its totient is φ = 81110937600.

The previous prime is 220121121989. The next prime is 220121122031. The reversal of 220121122000 is 221121022.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 194682147984 + 25438974016 = 441228^2 + 159496^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 13225684 + ... + 13242316.

It is an arithmetic number, because the mean of its divisors is an integer number (3589725321).

Almost surely, 2^220121122000 is an apocalyptic number.

220121122000 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 220121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287178025680).

220121122000 is an abundant number, since it is smaller than the sum of its proper divisors (354234929360).

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

220121122000 is a wasteful number, since it uses less digits than its factorization.

220121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17178 (or 17162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220121122000 its reverse (221121022), we get a palindrome (220342243022).

The spelling of 220121122000 in words is "two hundred twenty billion, one hundred twenty-one million, one hundred twenty-two thousand".