12114010040 has 128 divisors (see below), whose sum is σ = 30375371520. Its totient is φ = 4311014400.

The previous prime is 12114010033. The next prime is 12114010067. The reversal of 12114010040 is 4001041121.

12114010040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12114010040³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12114009997 and 12114010024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4803980 + ... + 4806500.

It is an arithmetic number, because the mean of its divisors is an integer number (237307590).

Almost surely, 2^12114010040 is an apocalyptic number.

12114010040 is a gapful number since it is divisible by the number (10) 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 12114010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187685760).

12114010040 is an abundant number, since it is smaller than the sum of its proper divisors (18261361480).

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

12114010040 is a wasteful number, since it uses less digits than its factorization.

12114010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12114010040 its reverse (4001041121), we get a palindrome (16115051161).

The spelling of 12114010040 in words is "twelve billion, one hundred fourteen million, ten thousand, forty".