3311121000 has 256 divisors, whose sum is σ = 11342073600. Its totient is φ = 797568000.

The previous prime is 3311120999. The next prime is 3311121007. The reversal of 3311121000 is 1211133.

3311121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3311121007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8876814 + ... + 8877186.

It is an arithmetic number, because the mean of its divisors is an integer number (44304975).

Almost surely, 2^3311121000 is an apocalyptic number.

3311121000 is a gapful number since it is divisible by the number (30) 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 3311121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671036800).

3311121000 is an abundant number, since it is smaller than the sum of its proper divisors (8030952600).

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

3311121000 is a wasteful number, since it uses less digits than its factorization.

3311121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3311121000 is about 57542.3409325689. The cubic root of 3311121000 is about 1490.4761026771.

Adding to 3311121000 its reverse (1211133), we get a palindrome (3312332133).

The spelling of 3311121000 in words is "three billion, three hundred eleven million, one hundred twenty-one thousand".