222128161920000 has 1760 divisors, whose sum is σ = 940868485708800. Its totient is φ = 50696368128000.

The previous prime is 222128161919957. The next prime is 222128161920031. The reversal of 222128161920000 is 29161821222.

222128161920000 is a `hidden beast` number, since 2 + 2 + 2 + 12 + 8 + 1 + 619 + 20 + 0 + 0 + 0 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 140676479211 + ... + 140676480789.

It is an arithmetic number, because the mean of its divisors is an integer number (534584366880).

Almost surely, 2^{222128161920000} is an apocalyptic number.

222128161920000 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 222128161920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470434242854400).

222128161920000 is an abundant number, since it is smaller than the sum of its proper divisors (718740323788800).

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

222128161920000 is a wasteful number, since it uses less digits than its factorization.

222128161920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 222128161920000 in words is "two hundred twenty-two trillion, one hundred twenty-eight billion, one hundred sixty-one million, nine hundred twenty thousand".