1217118960 has 240 divisors, whose sum is σ = 4279163616. Its totient is φ = 321490944.

The previous prime is 1217118949. The next prime is 1217118971. The reversal of 1217118960 is 698117121.

It is an interprime number because it is at equal distance from previous prime (1217118949) and next prime (1217118971).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2663052 + ... + 2663508.

Almost surely, 2^1217118960 is an apocalyptic number.

1217118960 is a gapful number since it is divisible by the number (10) 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 1217118960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139581808).

1217118960 is an abundant number, since it is smaller than the sum of its proper divisors (3062044656).

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

1217118960 is a wasteful number, since it uses less digits than its factorization.

1217118960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The square root of 1217118960 is about 34887.2320484156. The cubic root of 1217118960 is about 1067.6879532743.

The spelling of 1217118960 in words is "one billion, two hundred seventeen million, one hundred eighteen thousand, nine hundred sixty".