1220342400 has 144 divisors (see below), whose sum is σ = 4354564110. Its totient is φ = 325416960.

The previous prime is 1220342381. The next prime is 1220342407. The reversal of 1220342400 is 42430221.

1220342400 is a `hidden beast` number, since 1 + 220 + 3 + 42 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 584092224 + 636250176 = 24168^2 + 25224^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (1220342407) by changing a digit.

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, 7614 + ... + 49986.

Almost surely, 2^1220342400 is an apocalyptic number.

1220342400 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 1220342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177282055).

1220342400 is an abundant number, since it is smaller than the sum of its proper divisors (3134221710).

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

1220342400 is a wasteful number, since it uses less digits than its factorization.

1220342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42403 (or 42383 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1220342400 is about 34933.3994910315. The cubic root of 1220342400 is about 1068.6296837985.

Adding to 1220342400 its reverse (42430221), we get a palindrome (1262772621).

The spelling of 1220342400 in words is "one billion, two hundred twenty million, three hundred forty-two thousand, four hundred".