1217293056 has 288 divisors, whose sum is σ = 4166489600. Its totient is φ = 343388160.

The previous prime is 1217293043. The next prime is 1217293079. The reversal of 1217293056 is 6503927121.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1217293056.

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 31 ways as a sum of consecutive naturals, for example, 6725286 + ... + 6725466.

Almost surely, 2^1217293056 is an apocalyptic number.

1217293056 is a gapful number since it is divisible by the number (16) 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 1217293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083244800).

1217293056 is an abundant number, since it is smaller than the sum of its proper divisors (2949196544).

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

1217293056 is a wasteful number, since it uses less digits than its factorization.

1217293056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1217293056 is about 34889.7270840573. The cubic root of 1217293056 is about 1067.7388580054.

The spelling of 1217293056 in words is "one billion, two hundred seventeen million, two hundred ninety-three thousand, fifty-six".