211000120121220 has 192 divisors, whose sum is σ = 616959104348160. Its totient is φ = 53779147817472.

The previous prime is 211000120121213. The next prime is 211000120121221. The reversal of 211000120121220 is 22121021000112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 211000120121220.

It is not an unprimeable number, because it can be changed into a prime (211000120121221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13289663922 + ... + 13289679798.

It is an arithmetic number, because the mean of its divisors is an integer number (3213328668480).

Almost surely, 2^{211000120121220} is an apocalyptic number.

211000120121220 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 211000120121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308479552174080).

211000120121220 is an abundant number, since it is smaller than the sum of its proper divisors (405958984226940).

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

211000120121220 is a wasteful number, since it uses less digits than its factorization.

211000120121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22674 (or 22672 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211000120121220 its reverse (22121021000112), we get a palindrome (233121141121332).

The spelling of 211000120121220 in words is "two hundred eleven trillion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty".