31132200120 has 256 divisors, whose sum is σ = 110857420800. Its totient is φ = 6844193280.

The previous prime is 31132200119. The next prime is 31132200163. The reversal of 31132200120 is 2100223113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31132200120.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4345101 + ... + 4352259.

It is an arithmetic number, because the mean of its divisors is an integer number (433036800).

Almost surely, 2^31132200120 is an apocalyptic number.

31132200120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31132200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55428710400).

31132200120 is an abundant number, since it is smaller than the sum of its proper divisors (79725220680).

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

31132200120 is a wasteful number, since it uses less digits than its factorization.

31132200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31132200120 its reverse (2100223113), we get a palindrome (33232423233).

The spelling of 31132200120 in words is "thirty-one billion, one hundred thirty-two million, two hundred thousand, one hundred twenty".