1233300002112 has 140 divisors (see below), whose sum is σ = 3657122256480. Its totient is φ = 410961164544.

The previous prime is 1233300002111. The next prime is 1233300002117. The reversal of 1233300002112 is 2112000033321.

1233300002112 is a `hidden beast` number, since 123 + 330 + 0 + 0 + 0 + 211 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233300002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15922903 + ... + 16000169.

It is an arithmetic number, because the mean of its divisors is an integer number (26122301832).

Almost surely, 2^{1233300002112} is an apocalyptic number.

1233300002112 is a gapful number since it is divisible by the number (12) 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 1233300002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828561128240).

1233300002112 is an abundant number, since it is smaller than the sum of its proper divisors (2423822254368).

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

1233300002112 is an equidigital number, since it uses as much as digits as its factorization.

1233300002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80370 (or 80351 counting only the distinct ones).

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

Adding to 1233300002112 its reverse (2112000033321), we get a palindrome (3345300035433).

The spelling of 1233300002112 in words is "one trillion, two hundred thirty-three billion, three hundred million, two thousand, one hundred twelve".