31120020332200 has 192 divisors, whose sum is σ = 75323662570800. Its totient is φ = 11946938572800.

The previous prime is 31120020332173. The next prime is 31120020332209. The reversal of 31120020332200 is 223302002113.

31120020332200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 8898205476196 + 22221814856004 = 2982986^2 + 4714002^2 .

It is not an unprimeable number, because it can be changed into a prime (31120020332209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277214482 + ... + 277326718.

Almost surely, 2^{31120020332200} 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 31120020332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37661831285400).

31120020332200 is an abundant number, since it is smaller than the sum of its proper divisors (44203642238600).

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

31120020332200 is a wasteful number, since it uses less digits than its factorization.

31120020332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112800 (or 112791 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 31120020332200 its reverse (223302002113), we get a palindrome (31343322334313).

The spelling of 31120020332200 in words is "thirty-one trillion, one hundred twenty billion, twenty million, three hundred thirty-two thousand, two hundred".