1105217301312 has 168 divisors, whose sum is σ = 3479622768960. Its totient is φ = 333841305600.

The previous prime is 1105217301187. The next prime is 1105217301313. The reversal of 1105217301312 is 2131037125011.

1105217301312 is a `hidden beast` number, since 1 + 1 + 0 + 521 + 7 + 3 + 0 + 131 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105217301313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1943689 + ... + 2447112.

Almost surely, 2^{1105217301312} is an apocalyptic number.

1105217301312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1105217301312 is an abundant number, since it is smaller than the sum of its proper divisors (2374405467648).

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

1105217301312 is a wasteful number, since it uses less digits than its factorization.

1105217301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390861 (or 4390848 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 1105217301312 in words is "one trillion, one hundred five billion, two hundred seventeen million, three hundred one thousand, three hundred twelve".