1220312221200 has 90 divisors (see below), whose sum is σ = 4234822395674. Its totient is φ = 325416591360.

The previous prime is 1220312221157. The next prime is 1220312221309. The reversal of 1220312221200 is 21222130221.

It can be written as a sum of positive squares in 3 ways, for example, as 165837901824 + 1054474319376 = 407232^2 + 1026876^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 169484209 + ... + 169491408.

Almost surely, 2^{1220312221200} is an apocalyptic number.

1220312221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220312221200 is an abundant number, since it is smaller than the sum of its proper divisors (3014510174474).

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

1220312221200 is a wasteful number, since it uses less digits than its factorization.

1220312221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338975641 (or 338975627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1220312221200 its reverse (21222130221), we get a palindrome (1241534351421).

The spelling of 1220312221200 in words is "one trillion, two hundred twenty billion, three hundred twelve million, two hundred twenty-one thousand, two hundred".