2221212211020 has 288 divisors, whose sum is σ = 7661533291776. Its totient is φ = 516101414400.

The previous prime is 2221212211007. The next prime is 2221212211061. The reversal of 2221212211020 is 201122121222.

It is a happy number.

2221212211020 is a `hidden beast` number, since 2 + 221 + 212 + 211 + 0 + 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 = 2221212210984 and 2221212211002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4682155 + ... + 5134685.

It is an arithmetic number, because the mean of its divisors is an integer number (26602546152).

Almost surely, 2^{2221212211020} is an apocalyptic number.

2221212211020 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 2221212211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830766645888).

2221212211020 is an abundant number, since it is smaller than the sum of its proper divisors (5440321080756).

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

2221212211020 is a wasteful number, since it uses less digits than its factorization.

2221212211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452661 (or 452656 counting only the distinct ones).

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

Adding to 2221212211020 its reverse (201122121222), we get a palindrome (2422334332242).

The spelling of 2221212211020 in words is "two trillion, two hundred twenty-one billion, two hundred twelve million, two hundred eleven thousand, twenty".