601121106 has 48 divisors (see below), whose sum is σ = 1349875800. Its totient is φ = 193100544.

The previous prime is 601121083. The next prime is 601121111.

601121106 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 540981081 + 60140025 = 23259^2 + 7755^2 .

It is a super-2 number, since 2×601121106² = 722693168157326472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488500 + ... + 489728.

Almost surely, 2^601121106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601121106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674937900).

601121106 is an abundant number, since it is smaller than the sum of its proper divisors (748754694).

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

601121106 is a wasteful number, since it uses less digits than its factorization.

601121106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 601121106 is about 24517.7712282336. The cubic root of 601121106 is about 843.9576592417.

The spelling of 601121106 in words is "six hundred one million, one hundred twenty-one thousand, one hundred six".