113322222000 has 240 divisors, whose sum is σ = 426243531168. Its totient is φ = 27894643200.

The previous prime is 113322221989. The next prime is 113322222023. The reversal of 113322222000 is 222223311.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 10.

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 47 ways as a sum of consecutive naturals, for example, 8142 + ... + 476141.

Almost surely, 2^113322222000 is an apocalyptic number.

113322222000 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 113322222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213121765584).

113322222000 is an abundant number, since it is smaller than the sum of its proper divisors (312921309168).

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

113322222000 is a wasteful number, since it uses less digits than its factorization.

113322222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484325 (or 484306 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 113322222000 its reverse (222223311), we get a palindrome (113544445311).

The spelling of 113322222000 in words is "one hundred thirteen billion, three hundred twenty-two million, two hundred twenty-two thousand".