211122001122020 has 96 divisors (see below), whose sum is σ = 468853740257280. Its totient is φ = 79633882408320.

The previous prime is 211122001121989. The next prime is 211122001122029. The reversal of 211122001122020 is 20221100221112.

It is a self number, because there is not a number n which added to its sum of digits gives 211122001122020.

It is not an unprimeable number, because it can be changed into a prime (211122001122029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108503429 + ... + 110432051.

It is an arithmetic number, because the mean of its divisors is an integer number (4883893127680).

Almost surely, 2^{211122001122020} is an apocalyptic number.

211122001122020 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 211122001122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234426870128640).

211122001122020 is an abundant number, since it is smaller than the sum of its proper divisors (257731739135260).

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

211122001122020 is a wasteful number, since it uses less digits than its factorization.

211122001122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929985 (or 1929983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211122001122020 its reverse (20221100221112), we get a palindrome (231343101343132).

The spelling of 211122001122020 in words is "two hundred eleven trillion, one hundred twenty-two billion, one million, one hundred twenty-two thousand, twenty".