1217219609088 has 1280 divisors, whose sum is σ = 4517568000000. Its totient is φ = 322474328064.

The previous prime is 1217219609083. The next prime is 1217219609149. The reversal of 1217219609088 is 8809069127121.

It is a happy number.

1217219609088 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 21 + 9 + 609 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1217219609083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5315369358 + ... + 5315369586.

It is an arithmetic number, because the mean of its divisors is an integer number (3529350000).

Almost surely, 2^{1217219609088} is an apocalyptic number.

1217219609088 is a gapful number since it is divisible by the number (18) 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 1217219609088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258784000000).

1217219609088 is an abundant number, since it is smaller than the sum of its proper divisors (3300348390912).

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

1217219609088 is an equidigital number, since it uses as much as digits as its factorization.

1217219609088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 1217219609088 in words is "one trillion, two hundred seventeen billion, two hundred nineteen million, six hundred nine thousand, eighty-eight".