2212189056000 has 3520 divisors, whose sum is σ = 10950032231424. Its totient is φ = 429981696000.

The previous prime is 2212189055977. The next prime is 2212189056037. The reversal of 2212189056000 is 6509812122.

2212189056000 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 1 + 8 + 90 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a super-2 number, since 2×2212189056000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13571711919 + ... + 13571712081.

Almost surely, 2^{2212189056000} is an apocalyptic number.

2212189056000 is a gapful number since it is divisible by the number (20) 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 2212189056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475016115712).

2212189056000 is an abundant number, since it is smaller than the sum of its proper divisors (8737843175424).

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

2212189056000 is a wasteful number, since it uses less digits than its factorization.

2212189056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2212189056000 in words is "two trillion, two hundred twelve billion, one hundred eighty-nine million, fifty-six thousand".