112205313000 has 192 divisors, whose sum is σ = 413731955520. Its totient is φ = 27201264000.

The previous prime is 112205312963. The next prime is 112205313001. The reversal of 112205313000 is 313502211.

112205313000 is a `hidden beast` number, since 112 + 20 + 531 + 3 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×112205313000³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112205313001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467694 + ... + 665693.

It is an arithmetic number, because the mean of its divisors is an integer number (2154853935).

Almost surely, 2^112205313000 is an apocalyptic number.

112205313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112205313000 is an abundant number, since it is smaller than the sum of its proper divisors (301526642520).

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

112205313000 is a wasteful number, since it uses less digits than its factorization.

112205313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133425 (or 1133408 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 112205313000 its reverse (313502211), we get a palindrome (112518815211).

The spelling of 112205313000 in words is "one hundred twelve billion, two hundred five million, three hundred thirteen thousand".