1220414435505 has 24 divisors (see below), whose sum is σ = 2115500669568. Its totient is φ = 650852114976.

The previous prime is 1220414435489. The next prime is 1220414435533. The reversal of 1220414435505 is 5055344140221.

1220414435505 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 4 + 144 + 3 + 5 + 505 = 666.

It is not a de Polignac number, because 1220414435505 - 2⁴ = 1220414435489 is a prime.

It is a super-2 number, since 2×1220414435505² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1220414435505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101464 + ... + 1565606.

It is an arithmetic number, because the mean of its divisors is an integer number (88145861232).

Almost surely, 2^{1220414435505} is an apocalyptic number.

1220414435505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1220414435505 is a deficient number, since it is larger than the sum of its proper divisors (895086234063).

1220414435505 is a wasteful number, since it uses less digits than its factorization.

1220414435505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482677 (or 1482674 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 1220414435505 its reverse (5055344140221), we get a palindrome (6275758575726).

The spelling of 1220414435505 in words is "one trillion, two hundred twenty billion, four hundred fourteen million, four hundred thirty-five thousand, five hundred five".