1221344448 has 112 divisors (see below), whose sum is σ = 3359529984. Its totient is φ = 391173120.

The previous prime is 1221344431. The next prime is 1221344477. The reversal of 1221344448 is 8444431221.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933811 + ... + 935117.

Almost surely, 2^1221344448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221344448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679764992).

1221344448 is an abundant number, since it is smaller than the sum of its proper divisors (2138185536).

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

1221344448 is a wasteful number, since it uses less digits than its factorization.

1221344448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1500 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 1221344448 is about 34947.7388109732. The cubic root of 1221344448 is about 1068.9220949777.

Adding to 1221344448 its reverse (8444431221), we get a palindrome (9665775669).

The spelling of 1221344448 in words is "one billion, two hundred twenty-one million, three hundred forty-four thousand, four hundred forty-eight".