3123120001100 has 432 divisors, whose sum is σ = 8053299555840. Its totient is φ = 1047017664000.

The previous prime is 3123120001093. The next prime is 3123120001103. The reversal of 3123120001100 is 11000213213.

It is not an unprimeable number, because it can be changed into a prime (3123120001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4260736334 + ... + 4260737066.

It is an arithmetic number, because the mean of its divisors is an integer number (18641897120).

Almost surely, 2^{3123120001100} 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 3123120001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026649777920).

3123120001100 is an abundant number, since it is smaller than the sum of its proper divisors (4930179554740).

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

3123120001100 is a wasteful number, since it uses less digits than its factorization.

3123120001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 3123120001100 its reverse (11000213213), we get a palindrome (3134120214313).

The spelling of 3123120001100 in words is "three trillion, one hundred twenty-three billion, one hundred twenty million, one thousand, one hundred".