1217251968 has 64 divisors (see below), whose sum is σ = 3249940320. Its totient is φ = 403665920.

The previous prime is 1217251939. The next prime is 1217251999. The reversal of 1217251968 is 8691527121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1217251968³ (a number of 28 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 67603 + ... + 83693.

Almost surely, 2^1217251968 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 1217251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624970160).

1217251968 is an abundant number, since it is smaller than the sum of its proper divisors (2032688352).

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

1217251968 is a wasteful number, since it uses less digits than its factorization.

1217251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16305 (or 16293 counting only the distinct ones).

The product of its digits is 60480, while the sum is 42.

The square root of 1217251968 is about 34889.1382524705. The cubic root of 1217251968 is about 1067.7268445335.

The spelling of 1217251968 in words is "one billion, two hundred seventeen million, two hundred fifty-one thousand, nine hundred sixty-eight".