3122111434200 has 384 divisors, whose sum is σ = 11104294993920. Its totient is φ = 718262899200.

The previous prime is 3122111434103. The next prime is 3122111434237. The reversal of 3122111434200 is 24341112213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19197627 + ... + 19359573.

It is an arithmetic number, because the mean of its divisors is an integer number (28917434880).

Almost surely, 2^{3122111434200} is an apocalyptic number.

3122111434200 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 3122111434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552147496960).

3122111434200 is an abundant number, since it is smaller than the sum of its proper divisors (7982183559720).

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

3122111434200 is a wasteful number, since it uses less digits than its factorization.

3122111434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162127 (or 162118 counting only the distinct ones).

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

Adding to 3122111434200 its reverse (24341112213), we get a palindrome (3146452546413).

The spelling of 3122111434200 in words is "three trillion, one hundred twenty-two billion, one hundred eleven million, four hundred thirty-four thousand, two hundred".