1233112000120 has 256 divisors, whose sum is σ = 3739086489600. Its totient is φ = 353459496960.

The previous prime is 1233112000097. The next prime is 1233112000139. The reversal of 1233112000120 is 210002113321.

It is a junction number, because it is equal to n+sod(n) for n = 1233112000094 and 1233112000103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10713517 + ... + 10828003.

It is an arithmetic number, because the mean of its divisors is an integer number (14605806600).

Almost surely, 2^{1233112000120} is an apocalyptic number.

1233112000120 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 1233112000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869543244800).

1233112000120 is an abundant number, since it is smaller than the sum of its proper divisors (2505974489480).

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

1233112000120 is a wasteful number, since it uses less digits than its factorization.

1233112000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114798 (or 114794 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1233112000120 its reverse (210002113321), we get a palindrome (1443114113441).

The spelling of 1233112000120 in words is "one trillion, two hundred thirty-three billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.