1217151104 has 128 divisors (see below), whose sum is σ = 2714342400. Its totient is φ = 540094464.

The previous prime is 1217151097. The next prime is 1217151107. The reversal of 1217151104 is 4011517121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1217151104.

It is not an unprimeable number, because it can be changed into a prime (1217151107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6178334 + ... + 6178530.

It is an arithmetic number, because the mean of its divisors is an integer number (21205800).

Almost surely, 2^1217151104 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 1217151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

1217151104 is an abundant number, since it is smaller than the sum of its proper divisors (1497191296).

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

1217151104 is a wasteful number, since it uses less digits than its factorization.

1217151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 23.

The square root of 1217151104 is about 34887.6927296719. The cubic root of 1217151104 is about 1067.6973523719.

Adding to 1217151104 its reverse (4011517121), we get a palindrome (5228668225).

The spelling of 1217151104 in words is "one billion, two hundred seventeen million, one hundred fifty-one thousand, one hundred four".