12930287040 has 896 divisors, whose sum is σ = 54038845440. Its totient is φ = 2875392000.

The previous prime is 12930287021. The next prime is 12930287063. The reversal of 12930287040 is 4078203921.

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 = 12930286986 and 12930287004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85630965 + ... + 85631115.

Almost surely, 2^12930287040 is an apocalyptic number.

12930287040 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 12930287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27019422720).

12930287040 is an abundant number, since it is smaller than the sum of its proper divisors (41108558400).

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

12930287040 is a wasteful number, since it uses less digits than its factorization.

12930287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12930287040 in words is "twelve billion, nine hundred thirty million, two hundred eighty-seven thousand, forty".