1241216400 has 120 divisors (see below), whose sum is σ = 4026666880. Its totient is φ = 326776320.

The previous prime is 1241216399. The next prime is 1241216407. The reversal of 1241216400 is 46121421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1241216407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88254 + ... + 101346.

Almost surely, 2^1241216400 is an apocalyptic number.

1241216400 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 1241216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013333440).

1241216400 is an abundant number, since it is smaller than the sum of its proper divisors (2785450480).

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

1241216400 is a wasteful number, since it uses less digits than its factorization.

1241216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13193 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1241216400 is about 35230.9012090239. The cubic root of 1241216400 is about 1074.6882528515.

Adding to 1241216400 its reverse (46121421), we get a palindrome (1287337821).

The spelling of 1241216400 in words is "one billion, two hundred forty-one million, two hundred sixteen thousand, four hundred".