31122142120000 has 210 divisors, whose sum is σ = 81448336812678. Its totient is φ = 11793648384000.

The previous prime is 31122142119979. The next prime is 31122142120009. The reversal of 31122142120000 is 2124122113.

It can be written as a sum of positive squares in 5 ways, for example, as 16219886321664 + 14902255798336 = 4027392^2 + 3860344^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 31122142120000.

It is not an unprimeable number, because it can be changed into a prime (31122142120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13362364 + ... + 15517636.

Almost surely, 2^{31122142120000} 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 31122142120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40724168406339).

31122142120000 is an abundant number, since it is smaller than the sum of its proper divisors (50326194692678).

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

31122142120000 is an equidigital number, since it uses as much as digits as its factorization.

31122142120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155343 (or 2155299 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 31122142120000 its reverse (2124122113), we get a palindrome (31124266242113).

The spelling of 31122142120000 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred forty-two million, one hundred twenty thousand".