112133133222000 has 320 divisors, whose sum is σ = 394406159247360. Its totient is φ = 27182153856000.

The previous prime is 112133133221929. The next prime is 112133133222007. The reversal of 112133133222000 is 222331331211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133133222007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1377973314 + ... + 1378054686.

It is an arithmetic number, because the mean of its divisors is an integer number (1232519247648).

Almost surely, 2^{112133133222000} is an apocalyptic number.

112133133222000 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 112133133222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197203079623680).

112133133222000 is an abundant number, since it is smaller than the sum of its proper divisors (282273026025360).

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

112133133222000 is a wasteful number, since it uses less digits than its factorization.

112133133222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102289 (or 102273 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 112133133222000 its reverse (222331331211), we get a palindrome (112355464553211).

The spelling of 112133133222000 in words is "one hundred twelve trillion, one hundred thirty-three billion, one hundred thirty-three million, two hundred twenty-two thousand".