3112234322100 has 144 divisors (see below), whose sum is σ = 9326131214400. Its totient is φ = 800373969920.

The previous prime is 3112234322047. The next prime is 3112234322101. The reversal of 3112234322100 is 12234322113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112234322101) 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, 7247191 + ... + 7664609.

It is an arithmetic number, because the mean of its divisors is an integer number (64764800100).

Almost surely, 2^{3112234322100} is an apocalyptic number.

3112234322100 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 3112234322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663065607200).

3112234322100 is an abundant number, since it is smaller than the sum of its proper divisors (6213896892300).

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

3112234322100 is a wasteful number, since it uses less digits than its factorization.

3112234322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418322 (or 418315 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3112234322100 its reverse (12234322113), we get a palindrome (3124468644213).

The spelling of 3112234322100 in words is "three trillion, one hundred twelve billion, two hundred thirty-four million, three hundred twenty-two thousand, one hundred".