12110243153040 has 120 divisors (see below), whose sum is σ = 40671441053880. Its totient is φ = 3229302269952.

The previous prime is 12110243152993. The next prime is 12110243153053. The reversal of 12110243153040 is 4035134201121.

12110243153040 is a `hidden beast` number, since 1 + 2 + 110 + 243 + 1 + 5 + 304 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 198716242176 + 11911526910864 = 445776^2 + 3451308^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12110243153040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12110243152995 and 12110243153013.

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, 25913766 + ... + 26376954.

It is an arithmetic number, because the mean of its divisors is an integer number (338928675449).

Almost surely, 2^{12110243153040} is an apocalyptic number.

12110243153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110243153040 is an abundant number, since it is smaller than the sum of its proper divisors (28561197900840).

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

12110243153040 is a wasteful number, since it uses less digits than its factorization.

12110243153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499521 (or 499512 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12110243153040 its reverse (4035134201121), we get a palindrome (16145377354161).

The spelling of 12110243153040 in words is "twelve trillion, one hundred ten billion, two hundred forty-three million, one hundred fifty-three thousand, forty".