12008687040 has 672 divisors, whose sum is σ = 50325649920. Its totient is φ = 2567282688.

The previous prime is 12008687003. The next prime is 12008687051. The reversal of 12008687040 is 4078680021.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 12008686986 and 12008687004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40985134 + ... + 40985426.

It is an arithmetic number, because the mean of its divisors is an integer number (74889360).

Almost surely, 2^12008687040 is an apocalyptic number.

12008687040 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 12008687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162824960).

12008687040 is an abundant number, since it is smaller than the sum of its proper divisors (38316962880).

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

12008687040 is a wasteful number, since it uses less digits than its factorization.

12008687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12008687040 in words is "twelve billion, eight million, six hundred eighty-seven thousand, forty".