31222200012120 has 192 divisors, whose sum is σ = 109307319095520. Its totient is φ = 7683381522432.

The previous prime is 31222200012097. The next prime is 31222200012139. The reversal of 31222200012120 is 2121000222213.

31222200012120 is a `hidden beast` number, since 31 + 222 + 200 + 0 + 1 + 212 + 0 = 666.

It is a super-2 number, since 2×31222200012120² (a number of 28 digits) contains 22 as substring.

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 = 31222200012093 and 31222200012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16399687 + ... + 18204233.

Almost surely, 2^{31222200012120} is an apocalyptic number.

31222200012120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31222200012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54653659547760).

31222200012120 is an abundant number, since it is smaller than the sum of its proper divisors (78085119083400).

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

31222200012120 is a wasteful number, since it uses less digits than its factorization.

31222200012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808274 (or 1808267 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31222200012120 its reverse (2121000222213), we get a palindrome (33343200234333).

The spelling of 31222200012120 in words is "thirty-one trillion, two hundred twenty-two billion, two hundred million, twelve thousand, one hundred twenty".