31122031122 has 192 divisors, whose sum is σ = 88233949440. Its totient is φ = 7698240000.

The previous prime is 31122031093. The next prime is 31122031133. The reversal of 31122031122 is 22113022113.

31122031122 is a `hidden beast` number, since 311 + 2 + 20 + 311 + 22 = 666.

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 = 31122031095 and 31122031104.

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, 3138372 + ... + 3148272.

It is an arithmetic number, because the mean of its divisors is an integer number (459551820).

Almost surely, 2^31122031122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31122031122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44116974720).

31122031122 is an abundant number, since it is smaller than the sum of its proper divisors (57111918318).

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

31122031122 is a wasteful number, since it uses less digits than its factorization.

31122031122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10049 (or 10046 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31122031122 its reverse (22113022113), we get a palindrome (53235053235).

Subtracting from 31122031122 its reverse (22113022113), we obtain a palindrome (9009009009).

The spelling of 31122031122 in words is "thirty-one billion, one hundred twenty-two million, thirty-one thousand, one hundred twenty-two".