112353021200000 has 288 divisors, whose sum is σ = 325443824285580. Its totient is φ = 38521029120000.

The previous prime is 112353021199987. The next prime is 112353021200023. The reversal of 112353021200000 is 2120353211.

It can be written as a sum of positive squares in 6 ways, for example, as 333150604864 + 112019870595136 = 577192^2 + 10583944^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16733852 + ... + 22466148.

Almost surely, 2^{112353021200000} is an apocalyptic number.

112353021200000 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 112353021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162721912142790).

112353021200000 is an abundant number, since it is smaller than the sum of its proper divisors (213090803085580).

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

112353021200000 is an frugal number, since it uses more digits than its factorization.

112353021200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732350 (or 5732311 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 112353021200000 its reverse (2120353211), we get a palindrome (112355141553211).

The spelling of 112353021200000 in words is "one hundred twelve trillion, three hundred fifty-three billion, twenty-one million, two hundred thousand".