31221212220 has 288 divisors, whose sum is σ = 104812081920. Its totient is φ = 7459937280.

The previous prime is 31221212203. The next prime is 31221212261. The reversal of 31221212220 is 2221212213.

31221212220 is a `hidden beast` number, since 312 + 212 + 122 + 20 = 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 = 31221212193 and 31221212202.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 48555219 + ... + 48555861.

It is an arithmetic number, because the mean of its divisors is an integer number (363930840).

Almost surely, 2^31221212220 is an apocalyptic number.

31221212220 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 31221212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52406040960).

31221212220 is an abundant number, since it is smaller than the sum of its proper divisors (73590869700).

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

31221212220 is a wasteful number, since it uses less digits than its factorization.

31221212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 980 counting only the distinct ones).

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

Adding to 31221212220 its reverse (2221212213), we get a palindrome (33442424433).

The spelling of 31221212220 in words is "thirty-one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred twenty".