3311122000 has 80 divisors (see below), whose sum is σ = 8157616272. Its totient is φ = 1299417600.

The previous prime is 3311121973. The next prime is 3311122019. The reversal of 3311122000 is 2211133.

3311122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 243734544 + 3067387456 = 15612^2 + 55384^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90382 + ... + 121618.

Almost surely, 2^3311122000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078808136).

3311122000 is an abundant number, since it is smaller than the sum of its proper divisors (4846494272).

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

3311122000 is a wasteful number, since it uses less digits than its factorization.

3311122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31313 (or 31297 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3311122000 is about 57542.3496218220. The cubic root of 3311122000 is about 1490.4762527246.

Adding to 3311122000 its reverse (2211133), we get a palindrome (3313333133).

The spelling of 3311122000 in words is "three billion, three hundred eleven million, one hundred twenty-two thousand".