1252224416 has 48 divisors (see below), whose sum is σ = 2567593728. Its totient is φ = 600499200.

The previous prime is 1252224401. The next prime is 1252224433. The reversal of 1252224416 is 6144222521.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106511 + ... + 117681.

It is an arithmetic number, because the mean of its divisors is an integer number (53491536).

Almost surely, 2^1252224416 is an apocalyptic number.

1252224416 is a gapful number since it is divisible by the number (16) 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 1252224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283796864).

1252224416 is an abundant number, since it is smaller than the sum of its proper divisors (1315369312).

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

1252224416 is a wasteful number, since it uses less digits than its factorization.

1252224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11325 (or 11317 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 1252224416 is about 35386.7830693891. The cubic root of 1252224416 is about 1077.8559475603.

Adding to 1252224416 its reverse (6144222521), we get a palindrome (7396446937).

The spelling of 1252224416 in words is "one billion, two hundred fifty-two million, two hundred twenty-four thousand, four hundred sixteen".