1221088512 has 288 divisors, whose sum is σ = 4068900864. Its totient is φ = 317030400.

The previous prime is 1221088511. The next prime is 1221088513. The reversal of 1221088512 is 2158801221.

It is an interprime number because it is at equal distance from previous prime (1221088511) and next prime (1221088513).

It is a self number, because there is not a number n which added to its sum of digits gives 1221088512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221088511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2832937 + ... + 2833367.

It is an arithmetic number, because the mean of its divisors is an integer number (14128128).

Almost surely, 2^1221088512 is an apocalyptic number.

1221088512 is a gapful number since it is divisible by the number (12) 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 1221088512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034450432).

1221088512 is an abundant number, since it is smaller than the sum of its proper divisors (2847812352).

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

1221088512 is a wasteful number, since it uses less digits than its factorization.

1221088512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 1221088512 is about 34944.0769229923. The cubic root of 1221088512 is about 1068.8474245991.

Adding to 1221088512 its reverse (2158801221), we get a palindrome (3379889733).

The spelling of 1221088512 in words is "one billion, two hundred twenty-one million, eighty-eight thousand, five hundred twelve".