12882402000 has 480 divisors, whose sum is σ = 50274282240. Its totient is φ = 3169497600.

The previous prime is 12882401993. The next prime is 12882402041. The reversal of 12882402000 is 20428821.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6316981 + ... + 6319019.

It is an arithmetic number, because the mean of its divisors is an integer number (104738088).

Almost surely, 2^12882402000 is an apocalyptic number.

12882402000 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 12882402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25137141120).

12882402000 is an abundant number, since it is smaller than the sum of its proper divisors (37391880240).

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

12882402000 is a wasteful number, since it uses less digits than its factorization.

12882402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 12882402000 in words is "twelve billion, eight hundred eighty-two million, four hundred two thousand".