1221313200320 has 112 divisors (see below), whose sum is σ = 3080063423808. Its totient is φ = 459678351360.

The previous prime is 1221313200319. The next prime is 1221313200361. The reversal of 1221313200320 is 230023131221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1221313200292 and 1221313200301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24787229 + ... + 24836451.

It is an arithmetic number, because the mean of its divisors is an integer number (27500566284).

Almost surely, 2^{1221313200320} is an apocalyptic number.

1221313200320 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 1221313200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540031711904).

1221313200320 is an abundant number, since it is smaller than the sum of its proper divisors (1858750223488).

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

1221313200320 is a wasteful number, since it uses less digits than its factorization.

1221313200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53818 (or 53808 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1221313200320 its reverse (230023131221), we get a palindrome (1451336331541).

The spelling of 1221313200320 in words is "one trillion, two hundred twenty-one billion, three hundred thirteen million, two hundred thousand, three hundred twenty".