1224242400 has 72 divisors (see below), whose sum is σ = 3984916824. Its totient is φ = 326464000.

The previous prime is 1224242387. The next prime is 1224242407. The reversal of 1224242400 is 42424221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224242407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252651 + ... + 257450.

It is an arithmetic number, because the mean of its divisors is an integer number (55346067).

Almost surely, 2^1224242400 is an apocalyptic number.

1224242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224242400 is an abundant number, since it is smaller than the sum of its proper divisors (2760674424).

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

1224242400 is a wasteful number, since it uses less digits than its factorization.

1224242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510124 (or 510111 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1224242400 is about 34989.1754689933. The cubic root of 1224242400 is about 1069.7668575223.

Adding to 1224242400 its reverse (42424221), we get a palindrome (1266666621).

The spelling of 1224242400 in words is "one billion, two hundred twenty-four million, two hundred forty-two thousand, four hundred".