211022145000000 has 896 divisors, whose sum is σ = 778059539412480. Its totient is φ = 56083680000000.

The previous prime is 211022144999993. The next prime is 211022145000001. The reversal of 211022145000000 is 541220112.

211022145000000 is a `hidden beast` number, since 211 + 0 + 2 + 2 + 1 + 450 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (211022145000001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42794997535 + ... + 42795002465.

Almost surely, 2^{211022145000000} is an apocalyptic number.

211022145000000 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 211022145000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389029769706240).

211022145000000 is an abundant number, since it is smaller than the sum of its proper divisors (567037394412480).

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

211022145000000 is an frugal number, since it uses more digits than its factorization.

211022145000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 211022145000000 its reverse (541220112), we get a palindrome (211022686220112).

The spelling of 211022145000000 in words is "two hundred eleven trillion, twenty-two billion, one hundred forty-five million", and thus it is an aban number.