112333102200000 has 1008 divisors, whose sum is σ = 439567951350528. Its totient is φ = 27199468800000.

The previous prime is 112333102199999. The next prime is 112333102200019. The reversal of 112333102200000 is 2201333211.

112333102200000 is a `hidden beast` number, since 112 + 3 + 331 + 0 + 220 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19146597067 + ... + 19146602933.

It is an arithmetic number, because the mean of its divisors is an integer number (436079316816).

Almost surely, 2^{112333102200000} is an apocalyptic number.

112333102200000 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 112333102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219783975675264).

112333102200000 is an abundant number, since it is smaller than the sum of its proper divisors (327234849150528).

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

112333102200000 is an equidigital number, since it uses as much as digits as its factorization.

112333102200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6855 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112333102200000 its reverse (2201333211), we get a palindrome (112335303533211).

The spelling of 112333102200000 in words is "one hundred twelve trillion, three hundred thirty-three billion, one hundred two million, two hundred thousand".