31112201120 has 288 divisors, whose sum is σ = 100454691456. Its totient is φ = 8951040000.

The previous prime is 31112201119. The next prime is 31112201147. The reversal of 31112201120 is 2110221113.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 31112201095 and 31112201104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107245 + ... + 1134995.

It is an arithmetic number, because the mean of its divisors is an integer number (348801012).

Almost surely, 2^31112201120 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 31112201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50227345728).

31112201120 is an abundant number, since it is smaller than the sum of its proper divisors (69342490336).

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

31112201120 is a wasteful number, since it uses less digits than its factorization.

31112201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27804 (or 27789 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 31112201120 its reverse (2110221113), we get a palindrome (33222422233).

It can be divided in two parts, 31112 and 201120, that added together give a palindrome (232232).

The spelling of 31112201120 in words is "thirty-one billion, one hundred twelve million, two hundred one thousand, one hundred twenty".