1217965056 has 352 divisors, whose sum is σ = 4276101120. Its totient is φ = 298598400.

The previous prime is 1217965043. The next prime is 1217965087. The reversal of 1217965056 is 6505697121.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1217964999 and 1217965017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4494201 + ... + 4494471.

Almost surely, 2^1217965056 is an apocalyptic number.

1217965056 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 1217965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138050560).

1217965056 is an abundant number, since it is smaller than the sum of its proper divisors (3058136064).

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

1217965056 is a wasteful number, since it uses less digits than its factorization.

1217965056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 1217965056 is about 34899.3560972119. The cubic root of 1217965056 is about 1067.9353016678.

The spelling of 1217965056 in words is "one billion, two hundred seventeen million, nine hundred sixty-five thousand, fifty-six".