12782411820 has 96 divisors (see below), whose sum is σ = 39876480000. Its totient is φ = 3399302592.

The previous prime is 12782411819. The next prime is 12782411821. The reversal of 12782411820 is 2811428721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12782411819) and next prime (12782411821).

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

It is not an unprimeable number, because it can be changed into a prime (12782411821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165931 + ... + 230429.

It is an arithmetic number, because the mean of its divisors is an integer number (415380000).

Almost surely, 2^12782411820 is an apocalyptic number.

12782411820 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 12782411820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19938240000).

12782411820 is an abundant number, since it is smaller than the sum of its proper divisors (27094068180).

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

12782411820 is a wasteful number, since it uses less digits than its factorization.

12782411820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64884 (or 64876 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12782411820 in words is "twelve billion, seven hundred eighty-two million, four hundred eleven thousand, eight hundred twenty".