12940114824 has 960 divisors, whose sum is σ = 50055667200. Its totient is φ = 3084770304.

The previous prime is 12940114793. The next prime is 12940114877. The reversal of 12940114824 is 42841104921.

12940114824 is a `hidden beast` number, since 129 + 40 + 11 + 482 + 4 = 666.

It is a super-3 number, since 3×12940114824³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 275321569 + ... + 275321615.

It is an arithmetic number, because the mean of its divisors is an integer number (52141320).

Almost surely, 2^12940114824 is an apocalyptic number.

12940114824 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 12940114824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25027833600).

12940114824 is an abundant number, since it is smaller than the sum of its proper divisors (37115552376).

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

12940114824 is a wasteful number, since it uses less digits than its factorization.

12940114824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12940114824 in words is "twelve billion, nine hundred forty million, one hundred fourteen thousand, eight hundred twenty-four".