12050640051840 has 2048 divisors, whose sum is σ = 49709479680000. Its totient is φ = 2732772556800.

The previous prime is 12050640051839. The next prime is 12050640051841. The reversal of 12050640051840 is 4815004605021.

It is a happy number.

12050640051840 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 0 + 640 + 0 + 5 + 1 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12050640051839) and next prime (12050640051841).

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

It is a junction number, because it is equal to n+sod(n) for n = 12050640051795 and 12050640051804.

It is not an unprimeable number, because it can be changed into a prime (12050640051841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60555980061 + ... + 60555980259.

It is an arithmetic number, because the mean of its divisors is an integer number (24272206875).

Almost surely, 2^{12050640051840} is an apocalyptic number.

12050640051840 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 12050640051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24854739840000).

12050640051840 is an abundant number, since it is smaller than the sum of its proper divisors (37658839628160).

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

12050640051840 is a wasteful number, since it uses less digits than its factorization.

12050640051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 12050640051840 its reverse (4815004605021), we get a palindrome (16865644656861).

The spelling of 12050640051840 in words is "twelve trillion, fifty billion, six hundred forty million, fifty-one thousand, eight hundred forty".