3123320131200 has 384 divisors, whose sum is σ = 11186994611520. Its totient is φ = 762704363520.

The previous prime is 3123320131039. The next prime is 3123320131219. The reversal of 3123320131200 is 21310233213.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5779779 + ... + 6297021.

Almost surely, 2^{3123320131200} is an apocalyptic number.

3123320131200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123320131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593497305760).

3123320131200 is an abundant number, since it is smaller than the sum of its proper divisors (8063674480320).

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

3123320131200 is a wasteful number, since it uses less digits than its factorization.

3123320131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517324 (or 517307 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 3123320131200 its reverse (21310233213), we get a palindrome (3144630364413).

It can be divided in two parts, 312332013 and 1200, that added together give a palindrome (312333213).

The spelling of 3123320131200 in words is "three trillion, one hundred twenty-three billion, three hundred twenty million, one hundred thirty-one thousand, two hundred".