220210211122020 has 768 divisors, whose sum is σ = 801713874124800. Its totient is φ = 49147430400000.

The previous prime is 220210211122003. The next prime is 220210211122021. The reversal of 220210211122020 is 20221112012022.

It is a happy number.

220210211122020 is a `hidden beast` number, since 2 + 2 + 0 + 210 + 211 + 1 + 220 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220210211121984 and 220210211122002.

It is not an unprimeable number, because it can be changed into a prime (220210211122021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8013166680 + ... + 8013194160.

It is an arithmetic number, because the mean of its divisors is an integer number (1043898273600).

Almost surely, 2^{220210211122020} is an apocalyptic number.

220210211122020 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 220210211122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400856937062400).

220210211122020 is an abundant number, since it is smaller than the sum of its proper divisors (581503663002780).

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

220210211122020 is a wasteful number, since it uses less digits than its factorization.

220210211122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27897 (or 27889 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220210211122020 its reverse (20221112012022), we get a palindrome (240431323134042).

The spelling of 220210211122020 in words is "two hundred twenty trillion, two hundred ten billion, two hundred eleven million, one hundred twenty-two thousand, twenty".