3123424001200 has 240 divisors, whose sum is σ = 8147673515520. Its totient is φ = 1146007552000.

The previous prime is 3123424001177. The next prime is 3123424001207. The reversal of 3123424001200 is 21004243213.

It is not an unprimeable number, because it can be changed into a prime (3123424001207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295801521 + ... + 295812079.

It is an arithmetic number, because the mean of its divisors is an integer number (33948639648).

Almost surely, 2^{3123424001200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123424001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073836757760).

3123424001200 is an abundant number, since it is smaller than the sum of its proper divisors (5024249514320).

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

3123424001200 is a wasteful number, since it uses less digits than its factorization.

3123424001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11696 (or 11685 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 3123424001200 its reverse (21004243213), we get a palindrome (3144428244413).

The spelling of 3123424001200 in words is "three trillion, one hundred twenty-three billion, four hundred twenty-four million, one thousand, two hundred".