1220304400 has 120 divisors (see below), whose sum is σ = 3441456320. Its totient is φ = 407047680.

The previous prime is 1220304373. The next prime is 1220304413. The reversal of 1220304400 is 44030221.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 97711 + ... + 109489.

Almost surely, 2^1220304400 is an apocalyptic number.

1220304400 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 1220304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720728160).

1220304400 is an abundant number, since it is smaller than the sum of its proper divisors (2221151920).

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

1220304400 is a wasteful number, since it uses less digits than its factorization.

1220304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11841 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1220304400 is about 34932.8555946977. The cubic root of 1220304400 is about 1068.6185917341.

Adding to 1220304400 its reverse (44030221), we get a palindrome (1264334621).

The spelling of 1220304400 in words is "one billion, two hundred twenty million, three hundred four thousand, four hundred".