211220221122020 has 96 divisors (see below), whose sum is σ = 488376586051200. Its totient is φ = 76094760268800.

The previous prime is 211220221121999. The next prime is 211220221122103. The reversal of 211220221122020 is 20221122022112.

It is a super-2 number, since 2×211220221122020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211220221121983 and 211220221122001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231887675 + ... + 232796765.

It is an arithmetic number, because the mean of its divisors is an integer number (5087256104700).

Almost surely, 2^{211220221122020} is an apocalyptic number.

211220221122020 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 211220221122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244188293025600).

211220221122020 is an abundant number, since it is smaller than the sum of its proper divisors (277156364929180).

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

211220221122020 is a wasteful number, since it uses less digits than its factorization.

211220221122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918909 (or 918907 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211220221122020 its reverse (20221122022112), we get a palindrome (231441343144132).

The spelling of 211220221122020 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty".