3132321120 has 72 divisors (see below), whose sum is σ = 10689050736. Its totient is φ = 835285248.

The previous prime is 3132321113. The next prime is 3132321121. The reversal of 3132321120 is 211232313.

3132321120 is a `hidden beast` number, since 313 + 232 + 1 + 120 = 666.

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

It is a super-2 number, since 2×3132321120² = 19622871197596108800, which contains 22 as substring.

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 = 3132321093 and 3132321102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132321121) 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 11 ways as a sum of consecutive naturals, for example, 1086172 + ... + 1089051.

It is an arithmetic number, because the mean of its divisors is an integer number (148459038).

Almost surely, 2^3132321120 is an apocalyptic number.

3132321120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3132321120 is an abundant number, since it is smaller than the sum of its proper divisors (7556729616).

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

3132321120 is a wasteful number, since it uses less digits than its factorization.

3132321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175244 (or 2175233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3132321120 is about 55967.1432181418. The cubic root of 3132321120 is about 1463.1496898669.

Adding to 3132321120 its reverse (211232313), we get a palindrome (3343553433).

The spelling of 3132321120 in words is "three billion, one hundred thirty-two million, three hundred twenty-one thousand, one hundred twenty".