31122231120 has 120 divisors (see below), whose sum is σ = 105778292256. Its totient is φ = 8199254784.

The previous prime is 31122231113. The next prime is 31122231121. The reversal of 31122231120 is 2113222113.

31122231120 is a `hidden beast` number, since 311 + 2 + 2 + 231 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 31122231093 and 31122231102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31122231121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 200634 + ... + 320153.

Almost surely, 2^31122231120 is an apocalyptic number.

31122231120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31122231120 is an abundant number, since it is smaller than the sum of its proper divisors (74656061136).

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

31122231120 is a wasteful number, since it uses less digits than its factorization.

31122231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520889 (or 520880 counting only the distinct ones).

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

Adding to 31122231120 its reverse (2113222113), we get a palindrome (33235453233).

The spelling of 31122231120 in words is "thirty-one billion, one hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".