211121011221000 has 256 divisors, whose sum is σ = 697486669701120. Its totient is φ = 52984028160000.

The previous prime is 211121011220989. The next prime is 211121011221019. The reversal of 211121011221000 is 122110121112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 907224660 + ... + 907457340.

It is an arithmetic number, because the mean of its divisors is an integer number (2724557303520).

Almost surely, 2^{211121011221000} is an apocalyptic number.

211121011221000 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 211121011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348743334850560).

211121011221000 is an abundant number, since it is smaller than the sum of its proper divisors (486365658480120).

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

211121011221000 is a wasteful number, since it uses less digits than its factorization.

211121011221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250513 (or 250499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211121011221000 its reverse (122110121112), we get a palindrome (211243121342112).

The spelling of 211121011221000 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, two hundred twenty-one thousand".