211211021221120 has 144 divisors (see below), whose sum is σ = 510870789112320. Its totient is φ = 83657197780992.

The previous prime is 211211021221111. The next prime is 211211021221133. The reversal of 211211021221120 is 21122120112112.

It is a happy number.

It is a super-2 number, since 2×211211021221120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1756971576 + ... + 1757091784.

It is an arithmetic number, because the mean of its divisors is an integer number (3547713813280).

Almost surely, 2^{211211021221120} is an apocalyptic number.

211211021221120 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 211211021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255435394556160).

211211021221120 is an abundant number, since it is smaller than the sum of its proper divisors (299659767891200).

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

211211021221120 is a wasteful number, since it uses less digits than its factorization.

211211021221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133660 (or 133646 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211211021221120 its reverse (21122120112112), we get a palindrome (232333141333232).

The spelling of 211211021221120 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".