112021313000 has 192 divisors, whose sum is σ = 280366304400. Its totient is φ = 41893440000.

The previous prime is 112021312973. The next prime is 112021313087. The reversal of 112021313000 is 313120211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 5837876836 + 106183436164 = 76406^2 + 325858^2 .

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, 741862925 + ... + 741863075.

Almost surely, 2^112021313000 is an apocalyptic number.

112021313000 is a gapful number since it is divisible by the number (10) 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 112021313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140183152200).

112021313000 is an abundant number, since it is smaller than the sum of its proper divisors (168344991400).

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

112021313000 is an frugal number, since it uses more digits than its factorization.

112021313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 112021313000 its reverse (313120211), we get a palindrome (112334433211).

The spelling of 112021313000 in words is "one hundred twelve billion, twenty-one million, three hundred thirteen thousand".