1217111040 has 264 divisors, whose sum is σ = 4296292728. Its totient is φ = 318504960.

The previous prime is 1217111011. The next prime is 1217111081. The reversal of 1217111040 is 401117121.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 1167998976 = 7008^2 + 34176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2810664 + ... + 2811096.

Almost surely, 2^1217111040 is an apocalyptic number.

1217111040 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 1217111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148146364).

1217111040 is an abundant number, since it is smaller than the sum of its proper divisors (3079181688).

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

1217111040 is a wasteful number, since it uses less digits than its factorization.

1217111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 1217111040 is about 34887.1185396559. The cubic root of 1217111040 is about 1067.6856373936.

Adding to 1217111040 its reverse (401117121), we get a palindrome (1618228161).

The spelling of 1217111040 in words is "one billion, two hundred seventeen million, one hundred eleven thousand, forty".