1221268608 has 192 divisors, whose sum is σ = 4038465600. Its totient is φ = 347019264.

The previous prime is 1221268603. The next prime is 1221268649. The reversal of 1221268608 is 8068621221.

1221268608 is a `hidden beast` number, since 1 + 2 + 21 + 26 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (1221268603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2168935 + ... + 2169497.

It is an arithmetic number, because the mean of its divisors is an integer number (21033675).

Almost surely, 2^1221268608 is an apocalyptic number.

1221268608 is a gapful number since it is divisible by the number (18) 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 1221268608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019232800).

1221268608 is an abundant number, since it is smaller than the sum of its proper divisors (2817196992).

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

1221268608 is a wasteful number, since it uses less digits than its factorization.

1221268608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1221268608 is about 34946.6537453874. The cubic root of 1221268608 is about 1068.8999694341.

Adding to 1221268608 its reverse (8068621221), we get a palindrome (9289889829).

The spelling of 1221268608 in words is "one billion, two hundred twenty-one million, two hundred sixty-eight thousand, six hundred eight".