1224253254400 has 216 divisors, whose sum is σ = 3336607318464. Its totient is φ = 441019699200.

The previous prime is 1224253254391. The next prime is 1224253254421. The reversal of 1224253254400 is 44523524221.

It is a super-2 number, since 2×1224253254400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7451539 + ... + 7614061.

It is an arithmetic number, because the mean of its divisors is an integer number (15447256104).

Almost surely, 2^{1224253254400} is an apocalyptic number.

1224253254400 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 1224253254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668303659232).

1224253254400 is an abundant number, since it is smaller than the sum of its proper divisors (2112354064064).

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

1224253254400 is a wasteful number, since it uses less digits than its factorization.

1224253254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162667 (or 162648 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 1224253254400 its reverse (44523524221), we get a palindrome (1268776778621).

The spelling of 1224253254400 in words is "one trillion, two hundred twenty-four billion, two hundred fifty-three million, two hundred fifty-four thousand, four hundred".