1220405513355 has 24 divisors (see below), whose sum is σ = 2417565208032. Its totient is φ = 557899663104.

The previous prime is 1220405513339. The next prime is 1220405513473. The reversal of 1220405513355 is 5533155040221.

1220405513355 is a `hidden beast` number, since 1 + 2 + 20 + 4 + 0 + 551 + 33 + 55 = 666.

It is not a de Polignac number, because 1220405513355 - 2⁴ = 1220405513339 is a prime.

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, 1937151294 + ... + 1937151923.

It is an arithmetic number, because the mean of its divisors is an integer number (100731883668).

Almost surely, 2^{1220405513355} is an apocalyptic number.

1220405513355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1220405513355 is a deficient number, since it is larger than the sum of its proper divisors (1197159694677).

1220405513355 is a wasteful number, since it uses less digits than its factorization.

1220405513355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874303235 (or 3874303232 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 1220405513355 in words is "one trillion, two hundred twenty billion, four hundred five million, five hundred thirteen thousand, three hundred fifty-five".