1220333211300 has 288 divisors, whose sum is σ = 4060740096000. Its totient is φ = 277175485440.

The previous prime is 1220333211287. The next prime is 1220333211301. The reversal of 1220333211300 is 31123330221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1220333211301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262491376 + ... + 262496024.

It is an arithmetic number, because the mean of its divisors is an integer number (14099792000).

Almost surely, 2^{1220333211300} is an apocalyptic number.

1220333211300 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 1220333211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030370048000).

1220333211300 is an abundant number, since it is smaller than the sum of its proper divisors (2840406884700).

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

1220333211300 is a wasteful number, since it uses less digits than its factorization.

1220333211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1220333211300 its reverse (31123330221), we get a palindrome (1251456541521).

It can be divided in two parts, 122033 and 3211300, that added together give a palindrome (3333333).

The spelling of 1220333211300 in words is "one trillion, two hundred twenty billion, three hundred thirty-three million, two hundred eleven thousand, three hundred".