1220301223200 has 180 divisors, whose sum is σ = 4450201516530. Its totient is φ = 325413642240.

The previous prime is 1220301223177. The next prime is 1220301223201. The reversal of 1220301223200 is 23221030221.

1220301223200 is a `hidden beast` number, since 1 + 2 + 20 + 301 + 22 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 545228652816 + 675072570384 = 738396^2 + 821628^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1220301223201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9351105 + ... + 9480704.

Almost surely, 2^{1220301223200} is an apocalyptic number.

1220301223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220301223200 is an abundant number, since it is smaller than the sum of its proper divisors (3229900293330).

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

1220301223200 is a wasteful number, since it uses less digits than its factorization.

1220301223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18831841 (or 18831819 counting only the distinct ones).

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

Adding to 1220301223200 its reverse (23221030221), we get a palindrome (1243522253421).

The spelling of 1220301223200 in words is "one trillion, two hundred twenty billion, three hundred one million, two hundred twenty-three thousand, two hundred".