31000122032112 has 200 divisors, whose sum is σ = 91395130337280. Its totient is φ = 10142141466240.

The previous prime is 31000122032051. The next prime is 31000122032119. The reversal of 31000122032112 is 21123022100013.

31000122032112 is a `hidden beast` number, since 310 + 0 + 0 + 1 + 2 + 20 + 321 + 12 = 666.

It is a super-2 number, since 2×31000122032112² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (31000122032119) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19764189 + ... + 21274947.

Almost surely, 2^{31000122032112} 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 31000122032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45697565168640).

31000122032112 is an abundant number, since it is smaller than the sum of its proper divisors (60395008305168).

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

31000122032112 is a wasteful number, since it uses less digits than its factorization.

31000122032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511073 (or 1511058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31000122032112 its reverse (21123022100013), we get a palindrome (52123144132125).

The spelling of 31000122032112 in words is "thirty-one trillion, one hundred twenty-two million, thirty-two thousand, one hundred twelve".