31120023212120 has 256 divisors, whose sum is σ = 73365626880000. Its totient is φ = 11866982376960.

The previous prime is 31120023212093. The next prime is 31120023212141. The reversal of 31120023212120 is 2121232002113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31120023212092 and 31120023212101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19961527901 + ... + 19961529459.

It is an arithmetic number, because the mean of its divisors is an integer number (286584480000).

Almost surely, 2^{31120023212120} 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 31120023212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36682813440000).

31120023212120 is an abundant number, since it is smaller than the sum of its proper divisors (42245603667880).

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

31120023212120 is a wasteful number, since it uses less digits than its factorization.

31120023212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31120023212120 its reverse (2121232002113), we get a palindrome (33241255214233).

The spelling of 31120023212120 in words is "thirty-one trillion, one hundred twenty billion, twenty-three million, two hundred twelve thousand, one hundred twenty".