3211113120 has 96 divisors (see below), whose sum is σ = 10305937152. Its totient is φ = 840133632.

The previous prime is 3211113089. The next prime is 3211113127. The reversal of 3211113120 is 213111123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3211113120² = 20622494938872268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3211113120.

It is not an unprimeable number, because it can be changed into a prime (3211113127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37672 + ... + 88551.

It is an arithmetic number, because the mean of its divisors is an integer number (107353512).

Almost surely, 2^3211113120 is an apocalyptic number.

3211113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3211113120 is an abundant number, since it is smaller than the sum of its proper divisors (7094824032).

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

3211113120 is a wasteful number, since it uses less digits than its factorization.

3211113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126294 (or 126286 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 3211113120 is about 56666.6843921541. The cubic root of 3211113120 is about 1475.3165070093.

Adding to 3211113120 its reverse (213111123), we get a palindrome (3424224243).

The spelling of 3211113120 in words is "three billion, two hundred eleven million, one hundred thirteen thousand, one hundred twenty".