12702312000 has 896 divisors, whose sum is σ = 55181967360. Its totient is φ = 2799360000.

The previous prime is 12702311987. The next prime is 12702312001. The reversal of 12702312000 is 21320721.

12702312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12702312000³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12702312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46871865 + ... + 46872135.

Almost surely, 2^12702312000 is an apocalyptic number.

12702312000 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 12702312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27590983680).

12702312000 is an abundant number, since it is smaller than the sum of its proper divisors (42479655360).

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

12702312000 is a wasteful number, since it uses less digits than its factorization.

12702312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 12702312000 its reverse (21320721), we get a palindrome (12723632721).

The spelling of 12702312000 in words is "twelve billion, seven hundred two million, three hundred twelve thousand".