1221503130400 has 288 divisors, whose sum is σ = 3560464615680. Its totient is φ = 400350720000.

The previous prime is 1221503130391. The next prime is 1221503130413. The reversal of 1221503130400 is 40313051221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16365165 + ... + 16439635.

It is an arithmetic number, because the mean of its divisors is an integer number (12362724360).

Almost surely, 2^{1221503130400} is an apocalyptic number.

1221503130400 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 1221503130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780232307840).

1221503130400 is an abundant number, since it is smaller than the sum of its proper divisors (2338961485280).

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

1221503130400 is a wasteful number, since it uses less digits than its factorization.

1221503130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74628 (or 74615 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 1221503130400 its reverse (40313051221), we get a palindrome (1261816181621).

The spelling of 1221503130400 in words is "one trillion, two hundred twenty-one billion, five hundred three million, one hundred thirty thousand, four hundred".