3113424121200 has 120 divisors (see below), whose sum is σ = 9992931207600. Its totient is φ = 828615137280.

The previous prime is 3113424121187. The next prime is 3113424121207. The reversal of 3113424121200 is 21214243113.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113424121207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1937845 + ... + 3159444.

It is an arithmetic number, because the mean of its divisors is an integer number (83274426730).

Almost surely, 2^{3113424121200} is an apocalyptic number.

3113424121200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3113424121200 is an abundant number, since it is smaller than the sum of its proper divisors (6879507086400).

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

3113424121200 is a wasteful number, since it uses less digits than its factorization.

3113424121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097819 (or 5097808 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 3113424121200 its reverse (21214243113), we get a palindrome (3134638364313).

The spelling of 3113424121200 in words is "three trillion, one hundred thirteen billion, four hundred twenty-four million, one hundred twenty-one thousand, two hundred".