31032420012 has 144 divisors (see below), whose sum is σ = 87104882592. Its totient is φ = 9236643840.

The previous prime is 31032419987. The next prime is 31032420049. The reversal of 31032420012 is 21002423013.

31032420012 is a `hidden beast` number, since 310 + 324 + 20 + 0 + 12 = 666.

It is a super-3 number, since 3×31032420012³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 7427268 + ... + 7431444.

It is an arithmetic number, because the mean of its divisors is an integer number (604895018).

Almost surely, 2^31032420012 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 31032420012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43552441296).

31032420012 is an abundant number, since it is smaller than the sum of its proper divisors (56072462580).

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

31032420012 is a wasteful number, since it uses less digits than its factorization.

31032420012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31032420012 its reverse (21002423013), we get a palindrome (52034843025).

The spelling of 31032420012 in words is "thirty-one billion, thirty-two million, four hundred twenty thousand, twelve".