1220213320020 has 144 divisors (see below), whose sum is σ = 3829609339920. Its totient is φ = 314115379200.

The previous prime is 1220213320003. The next prime is 1220213320021. The reversal of 1220213320020 is 200233120221.

It can be written as a sum of positive squares in 8 ways, for example, as 84377468484 + 1135835851536 = 290478^2 + 1065756^2 .

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 = 1220213319975 and 1220213320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220213320021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36319630 + ... + 36353210.

It is an arithmetic number, because the mean of its divisors is an integer number (26594509305).

Almost surely, 2^{1220213320020} is an apocalyptic number.

1220213320020 is a gapful number since it is divisible by the number (10) 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 1220213320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914804669960).

1220213320020 is an abundant number, since it is smaller than the sum of its proper divisors (2609396019900).

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

1220213320020 is a wasteful number, since it uses less digits than its factorization.

1220213320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40586 (or 40581 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1220213320020 its reverse (200233120221), we get a palindrome (1420446440241).

The spelling of 1220213320020 in words is "one trillion, two hundred twenty billion, two hundred thirteen million, three hundred twenty thousand, twenty".