1106216720224 has 144 divisors (see below), whose sum is σ = 2782203379200. Its totient is φ = 423687939840.

The previous prime is 1106216720221. The next prime is 1106216720227. The reversal of 1106216720224 is 4220276126011.

It is an interprime number because it is at equal distance from previous prime (1106216720221) and next prime (1106216720227).

It is a super-2 number, since 2×1106216720224² (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 1106216720224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106216720221) by changing a digit.

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, 1253257 + ... + 1945015.

It is an arithmetic number, because the mean of its divisors is an integer number (19320856800).

Almost surely, 2^{1106216720224} is an apocalyptic number.

1106216720224 is a gapful number since it is divisible by the number (14) 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 1106216720224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391101689600).

1106216720224 is an abundant number, since it is smaller than the sum of its proper divisors (1675986658976).

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

1106216720224 is a wasteful number, since it uses less digits than its factorization.

1106216720224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691857 (or 691838 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 1106216720224 in words is "one trillion, one hundred six billion, two hundred sixteen million, seven hundred twenty thousand, two hundred twenty-four".