113233122000 has 480 divisors, whose sum is σ = 424223205120. Its totient is φ = 28062028800.

The previous prime is 113233121993. The next prime is 113233122047. The reversal of 113233122000 is 221332311.

113233122000 is a `hidden beast` number, since 1 + 132 + 331 + 2 + 200 + 0 = 666.

113233122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 18122877 + ... + 18129123.

It is an arithmetic number, because the mean of its divisors is an integer number (883798344).

Almost surely, 2^113233122000 is an apocalyptic number.

113233122000 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 113233122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212111602560).

113233122000 is an abundant number, since it is smaller than the sum of its proper divisors (310990083120).

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

113233122000 is a wasteful number, since it uses less digits than its factorization.

113233122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 6329 counting only the distinct ones).

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

Adding to 113233122000 its reverse (221332311), we get a palindrome (113454454311).

The spelling of 113233122000 in words is "one hundred thirteen billion, two hundred thirty-three million, one hundred twenty-two thousand".