112223320011000 has 1536 divisors, whose sum is σ = 440184833187840. Its totient is φ = 25539494400000.

The previous prime is 112223320010959. The next prime is 112223320011041. The reversal of 112223320011000 is 110023322211.

112223320011000 is a `hidden beast` number, since 1 + 1 + 222 + 332 + 0 + 0 + 110 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112223320010959) and next prime (112223320011041).

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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12223426410 + ... + 12223435590.

It is an arithmetic number, because the mean of its divisors is an integer number (286578667440).

Almost surely, 2^{112223320011000} is an apocalyptic number.

112223320011000 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 112223320011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220092416593920).

112223320011000 is an abundant number, since it is smaller than the sum of its proper divisors (327961513176840).

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

112223320011000 is a wasteful number, since it uses less digits than its factorization.

112223320011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112223320011000 its reverse (110023322211), we get a palindrome (112333343333211).

The spelling of 112223320011000 in words is "one hundred twelve trillion, two hundred twenty-three billion, three hundred twenty million, eleven thousand".