11001120000219 has 80 divisors (see below), whose sum is σ = 17491317972480. Its totient is φ = 6871099570560.

The previous prime is 11001120000209. The next prime is 11001120000281. The reversal of 11001120000219 is 91200002110011.

It is a happy number.

It is not a de Polignac number, because 11001120000219 - 2¹¹ = 11001119998171 is a prime.

It is a super-2 number, since 2×11001120000219² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11001120000209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55352514 + ... + 55550904.

It is an arithmetic number, because the mean of its divisors is an integer number (218641474656).

Almost surely, 2^{11001120000219} is an apocalyptic number.

11001120000219 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11001120000219 is a deficient number, since it is larger than the sum of its proper divisors (6490197972261).

11001120000219 is a wasteful number, since it uses less digits than its factorization.

11001120000219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198822 (or 198813 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 11001120000219 in words is "eleven trillion, one billion, one hundred twenty million, two hundred nineteen", and thus it is an aban number.