31212101121320 has 256 divisors, whose sum is σ = 88177075200000. Its totient is φ = 9695082710016.

The previous prime is 31212101121209. The next prime is 31212101121353. The reversal of 31212101121320 is 2312110121213.

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 = 31212101121292 and 31212101121301.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 588892181 + ... + 588945179.

It is an arithmetic number, because the mean of its divisors is an integer number (344441700000).

Almost surely, 2^{31212101121320} 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 31212101121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44088537600000).

31212101121320 is an abundant number, since it is smaller than the sum of its proper divisors (56964974078680).

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

31212101121320 is a wasteful number, since it uses less digits than its factorization.

31212101121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57872 (or 57868 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 31212101121320 its reverse (2312110121213), we get a palindrome (33524211242533).

The spelling of 31212101121320 in words is "thirty-one trillion, two hundred twelve billion, one hundred one million, one hundred twenty-one thousand, three hundred twenty".