12762400000 has 432 divisors, whose sum is σ = 37939321728. Its totient is φ = 4193280000.

The previous prime is 12762399977. The next prime is 12762400003. The reversal of 12762400000 is 426721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12762400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240799974 + ... + 240800026.

It is an arithmetic number, because the mean of its divisors is an integer number (87822504).

Almost surely, 2^12762400000 is an apocalyptic number.

12762400000 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 12762400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969660864).

12762400000 is an abundant number, since it is smaller than the sum of its proper divisors (25176921728).

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

12762400000 is an frugal number, since it uses more digits than its factorization.

12762400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 12762400000 its reverse (426721), we get a palindrome (12762826721).

The spelling of 12762400000 in words is "twelve billion, seven hundred sixty-two million, four hundred thousand".