12090770640 has 640 divisors, whose sum is σ = 47526958080. Its totient is φ = 2802843648.

The previous prime is 12090770623. The next prime is 12090770647. The reversal of 12090770640 is 4607709021.

It is a happy number.

12090770640 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 0 + 7 + 7 + 0 + 640 = 666.

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 = 12090770595 and 12090770604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12090770647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62646384 + ... + 62646576.

It is an arithmetic number, because the mean of its divisors is an integer number (74260872).

Almost surely, 2^12090770640 is an apocalyptic number.

12090770640 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 12090770640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23763479040).

12090770640 is an abundant number, since it is smaller than the sum of its proper divisors (35436187440).

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

12090770640 is a wasteful number, since it uses less digits than its factorization.

12090770640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 12090770640 in words is "twelve billion, ninety million, seven hundred seventy thousand, six hundred forty".