211222121120192 has 448 divisors, whose sum is σ = 556782344294400. Its totient is φ = 77159843758080.

The previous prime is 211222121120161. The next prime is 211222121120209. The reversal of 211222121120192 is 291021121222112.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×211222121120192² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 5004175184 + ... + 5004217392.

It is an arithmetic number, because the mean of its divisors is an integer number (1242817732800).

Almost surely, 2^{211222121120192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222121120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278391172147200).

211222121120192 is an abundant number, since it is smaller than the sum of its proper divisors (345560223174208).

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

211222121120192 is a wasteful number, since it uses less digits than its factorization.

211222121120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43404 (or 43394 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 211222121120192 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred ninety-two".