6311121120 has 72 divisors (see below), whose sum is σ = 21536705736. Its totient is φ = 1682965248.

The previous prime is 6311121071. The next prime is 6311121127. The reversal of 6311121120 is 211211136.

6311121120 is a `hidden beast` number, since 631 + 1 + 1 + 2 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 6311121093 and 6311121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6311121127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2189922 + ... + 2192801.

It is an arithmetic number, because the mean of its divisors is an integer number (299120913).

Almost surely, 2^6311121120 is an apocalyptic number.

6311121120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6311121120 is an abundant number, since it is smaller than the sum of its proper divisors (15225584616).

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

6311121120 is a wasteful number, since it uses less digits than its factorization.

6311121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382744 (or 4382733 counting only the distinct ones).

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

The square root of 6311121120 is about 79442.5649132756. The cubic root of 6311121120 is about 1848.0008714225. Note that the first 3 decimals are identical.

Adding to 6311121120 its reverse (211211136), we get a palindrome (6522332256).

The spelling of 6311121120 in words is "six billion, three hundred eleven million, one hundred twenty-one thousand, one hundred twenty".