112220220132000 has 288 divisors, whose sum is σ = 405784088171280. Its totient is φ = 29360761497600.

The previous prime is 112220220131927. The next prime is 112220220132067. The reversal of 112220220132000 is 231022022211.

112220220132000 is a `hidden beast` number, since 1 + 12 + 220 + 220 + 13 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24988281373584 + 87231938758416 = 4998828^2 + 9339804^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27499815 + ... + 31315814.

Almost surely, 2^{112220220132000} is an apocalyptic number.

112220220132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112220220132000 is an abundant number, since it is smaller than the sum of its proper divisors (293563868039280).

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

112220220132000 is a wasteful number, since it uses less digits than its factorization.

112220220132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58815713 (or 58815692 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112220220132000 its reverse (231022022211), we get a palindrome (112451242154211).

The spelling of 112220220132000 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred twenty million, one hundred thirty-two thousand".