441222122000 has 160 divisors (see below), whose sum is σ = 1164841516800. Its totient is φ = 160309632000.

The previous prime is 441222121997. The next prime is 441222122027. The reversal of 441222122000 is 221222144.

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

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, 28350221 + ... + 28365779.

It is an arithmetic number, because the mean of its divisors is an integer number (7280259480).

Almost surely, 2^441222122000 is an apocalyptic number.

441222122000 is a gapful number since it is divisible by the number (40) 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 441222122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582420758400).

441222122000 is an abundant number, since it is smaller than the sum of its proper divisors (723619394800).

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

441222122000 is a wasteful number, since it uses less digits than its factorization.

441222122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16882 (or 16866 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 441222122000 its reverse (221222144), we get a palindrome (441443344144).

The spelling of 441222122000 in words is "four hundred forty-one billion, two hundred twenty-two million, one hundred twenty-two thousand".