31232331123012 has 240 divisors, whose sum is σ = 84618418111920. Its totient is φ = 10038554726400.

The previous prime is 31232331122989. The next prime is 31232331123073. The reversal of 31232331123012 is 21032113323213.

31232331123012 is a `hidden beast` number, since 3 + 1 + 2 + 323 + 31 + 1 + 2 + 301 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 844277971716 + 30388053151296 = 918846^2 + 5512536^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 416721462 + ... + 416796402.

It is an arithmetic number, because the mean of its divisors is an integer number (352576742133).

Almost surely, 2^{31232331123012} 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 31232331123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42309209055960).

31232331123012 is an abundant number, since it is smaller than the sum of its proper divisors (53386086988908).

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

31232331123012 is a wasteful number, since it uses less digits than its factorization.

31232331123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75364 (or 75353 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31232331123012 its reverse (21032113323213), we get a palindrome (52264444446225).

The spelling of 31232331123012 in words is "thirty-one trillion, two hundred thirty-two billion, three hundred thirty-one million, one hundred twenty-three thousand, twelve".