1221829344 has 72 divisors (see below), whose sum is σ = 3523573872. Its totient is φ = 401533440.

The previous prime is 1221829339. The next prime is 1221829351. The reversal of 1221829344 is 4439281221.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1221829299 and 1221829308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9429 + ... + 50324.

It is an arithmetic number, because the mean of its divisors is an integer number (48938526).

Almost surely, 2^1221829344 is an apocalyptic number.

It is an amenable number.

1221829344 is an abundant number, since it is smaller than the sum of its proper divisors (2301744528).

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

1221829344 is a wasteful number, since it uses less digits than its factorization.

1221829344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59840 (or 59829 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1221829344 is about 34954.6755670826. The cubic root of 1221829344 is about 1069.0635367773.

The spelling of 1221829344 in words is "one billion, two hundred twenty-one million, eight hundred twenty-nine thousand, three hundred forty-four".