3123324112000 has 64 divisors (see below), whose sum is σ = 7765364613240. Its totient is φ = 1249329638400.

The previous prime is 3123324111961. The next prime is 3123324112091. The reversal of 3123324112000 is 2114233213.

3123324112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1284523023424 + 1838801088576 = 1133368^2 + 1356024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97587879 + ... + 97619878.

Almost surely, 2^{3123324112000} is an apocalyptic number.

It is an amenable number.

3123324112000 is an abundant number, since it is smaller than the sum of its proper divisors (4642040501240).

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

3123324112000 is an equidigital number, since it uses as much as digits as its factorization.

3123324112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195207786 (or 195207764 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3123324112000 its reverse (2114233213), we get a palindrome (3125438345213).

The spelling of 3123324112000 in words is "three trillion, one hundred twenty-three billion, three hundred twenty-four million, one hundred twelve thousand".