3123201312 has 144 divisors (see below), whose sum is σ = 11073246912. Its totient is φ = 811215360.

The previous prime is 3123201239. The next prime is 3123201317. The reversal of 3123201312 is 2131023213.

3123201312 is a `hidden beast` number, since 31 + 2 + 320 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3123201317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48243 + ... + 92594.

It is an arithmetic number, because the mean of its divisors is an integer number (76897548).

Almost surely, 2^3123201312 is an apocalyptic number.

3123201312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3123201312 is an abundant number, since it is smaller than the sum of its proper divisors (7950045600).

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

3123201312 is a wasteful number, since it uses less digits than its factorization.

3123201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140871 (or 140860 counting only the distinct ones).

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

The square root of 3123201312 is about 55885.6091672982. The cubic root of 3123201312 is about 1461.7283141727.

Adding to 3123201312 its reverse (2131023213), we get a palindrome (5254224525).

The spelling of 3123201312 in words is "three billion, one hundred twenty-three million, two hundred one thousand, three hundred twelve".