31244220032112 has 240 divisors, whose sum is σ = 91872882616320. Its totient is φ = 9899859110400.

The previous prime is 31244220032071. The next prime is 31244220032117. The reversal of 31244220032112 is 21123002244213.

31244220032112 is a `hidden beast` number, since 3 + 1 + 2 + 442 + 2 + 0 + 0 + 3 + 211 + 2 = 666.

It is a super-2 number, since 2×31244220032112² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31244220032117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85074703 + ... + 85441169.

It is an arithmetic number, because the mean of its divisors is an integer number (382803677568).

Almost surely, 2^{31244220032112} 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 31244220032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45936441308160).

31244220032112 is an abundant number, since it is smaller than the sum of its proper divisors (60628662584208).

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

31244220032112 is a wasteful number, since it uses less digits than its factorization.

31244220032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366852 (or 366843 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31244220032112 its reverse (21123002244213), we get a palindrome (52367222276325).

The spelling of 31244220032112 in words is "thirty-one trillion, two hundred forty-four billion, two hundred twenty million, thirty-two thousand, one hundred twelve".