1217391120 has 240 divisors, whose sum is σ = 4626078912. Its totient is φ = 295073280.

The previous prime is 1217391113. The next prime is 1217391137. The reversal of 1217391120 is 211937121.

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

It is a super-2 number, since 2×1217391120² = 2964082278109708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 210994 + ... + 216686.

Almost surely, 2^1217391120 is an apocalyptic number.

1217391120 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 1217391120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313039456).

1217391120 is an abundant number, since it is smaller than the sum of its proper divisors (3408687792).

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

1217391120 is a wasteful number, since it uses less digits than its factorization.

1217391120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 5714 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1217391120 is about 34891.1323977884. The cubic root of 1217391120 is about 1067.7675292530.

The spelling of 1217391120 in words is "one billion, two hundred seventeen million, three hundred ninety-one thousand, one hundred twenty".