1221352704 has 324 divisors, whose sum is σ = 4180811908. Its totient is φ = 340623360.

The previous prime is 1221352673. The next prime is 1221352729. The reversal of 1221352704 is 4072531221.

1221352704 is a `hidden beast` number, since 122 + 13 + 527 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250905600 + 970447104 = 15840^2 + 31152^2 .

It is a super-2 number, since 2×1221352704² = 2983404855136223232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3624024 + ... + 3624360.

Almost surely, 2^1221352704 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 1221352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090405954).

1221352704 is an abundant number, since it is smaller than the sum of its proper divisors (2959459204).

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

1221352704 is a wasteful number, since it uses less digits than its factorization.

1221352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1221352704 is about 34947.8569300036. The cubic root of 1221352704 is about 1068.9245035259.

Adding to 1221352704 its reverse (4072531221), we get a palindrome (5293883925).

The spelling of 1221352704 in words is "one billion, two hundred twenty-one million, three hundred fifty-two thousand, seven hundred four".