1221300321120 has 576 divisors, whose sum is σ = 4863746212416. Its totient is φ = 275778109440.

The previous prime is 1221300321091. The next prime is 1221300321127. The reversal of 1221300321120 is 211230031221.

1221300321120 is a `hidden beast` number, since 1 + 2 + 21 + 300 + 321 + 1 + 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 = 1221300321093 and 1221300321102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221300321127) 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, 26096782 + ... + 26143538.

It is an arithmetic number, because the mean of its divisors is an integer number (8444003841).

Almost surely, 2^{1221300321120} is an apocalyptic number.

1221300321120 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 1221300321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431873106208).

1221300321120 is an abundant number, since it is smaller than the sum of its proper divisors (3642445891296).

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

1221300321120 is a wasteful number, since it uses less digits than its factorization.

1221300321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46903 (or 46892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221300321120 its reverse (211230031221), we get a palindrome (1432530352341).

The spelling of 1221300321120 in words is "one trillion, two hundred twenty-one billion, three hundred million, three hundred twenty-one thousand, one hundred twenty".