12211120110240 has 144 divisors (see below), whose sum is σ = 41672600155368. Its totient is φ = 3256130469888.

The previous prime is 12211120110239. The next prime is 12211120110247. The reversal of 12211120110240 is 4201102111221.

12211120110240 is a `hidden beast` number, since 1 + 2 + 211 + 1 + 201 + 10 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10994078695824 + 1217041414416 = 3315732^2 + 1103196^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12211120110240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12211120110247) 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, 29018784 + ... + 29436576.

Almost surely, 2^{12211120110240} is an apocalyptic number.

12211120110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211120110240 is an abundant number, since it is smaller than the sum of its proper divisors (29461480045128).

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

12211120110240 is a wasteful number, since it uses less digits than its factorization.

12211120110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438111 (or 438100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211120110240 its reverse (4201102111221), we get a palindrome (16412222221461).

The spelling of 12211120110240 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, one hundred ten thousand, two hundred forty".