1000311122124 has 144 divisors (see below), whose sum is σ = 2700393696000. Its totient is φ = 311293342080.

The previous prime is 1000311122123. The next prime is 1000311122149. The reversal of 1000311122124 is 4212211130001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1000311122097 and 1000311122106.

It is not an unprimeable number, because it can be changed into a prime (1000311122123) 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 47 ways as a sum of consecutive naturals, for example, 156809967 + ... + 156816345.

It is an arithmetic number, because the mean of its divisors is an integer number (18752734000).

Almost surely, 2^{1000311122124} 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 1000311122124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350196848000).

1000311122124 is an abundant number, since it is smaller than the sum of its proper divisors (1700082573876).

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

1000311122124 is a wasteful number, since it uses less digits than its factorization.

1000311122124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9708 (or 9703 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1000311122124 its reverse (4212211130001), we get a palindrome (5212522252125).

The spelling of 1000311122124 in words is "one trillion, three hundred eleven million, one hundred twenty-two thousand, one hundred twenty-four".