112231302304000 has 432 divisors, whose sum is σ = 325386575802288. Its totient is φ = 38410690560000.

The previous prime is 112231302303971. The next prime is 112231302304007. The reversal of 112231302304000 is 403203132211.

It can be written as a sum of positive squares in 8 ways, for example, as 41512352088064 + 70718950215936 = 6443008^2 + 8409456^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (112231302304007) 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, 64971490 + ... + 66676510.

It is an arithmetic number, because the mean of its divisors is an integer number (753209666209).

Almost surely, 2^{112231302304000} is an apocalyptic number.

112231302304000 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 112231302304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162693287901144).

112231302304000 is an abundant number, since it is smaller than the sum of its proper divisors (213155273498288).

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

112231302304000 is a wasteful number, since it uses less digits than its factorization.

112231302304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705091 (or 1705056 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 112231302304000 its reverse (403203132211), we get a palindrome (112634505436211).

The spelling of 112231302304000 in words is "one hundred twelve trillion, two hundred thirty-one billion, three hundred two million, three hundred four thousand".