1220042400 has 216 divisors, whose sum is σ = 4220979840. Its totient is φ = 306032640.

The previous prime is 1220042377. The next prime is 1220042413. The reversal of 1220042400 is 42400221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1220042400.

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 35 ways as a sum of consecutive naturals, for example, 692721 + ... + 694479.

Almost surely, 2^1220042400 is an apocalyptic number.

1220042400 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 1220042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110489920).

1220042400 is an abundant number, since it is smaller than the sum of its proper divisors (3000937440).

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

1220042400 is a wasteful number, since it uses less digits than its factorization.

1220042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1220042400 is about 34929.1053421069. The cubic root of 1220042400 is about 1068.5421086013.

Adding to 1220042400 its reverse (42400221), we get a palindrome (1262442621).

The spelling of 1220042400 in words is "one billion, two hundred twenty million, forty-two thousand, four hundred".