12712780800 has 396 divisors, whose sum is σ = 47516601600. Its totient is φ = 3241328640.

The previous prime is 12712780789. The next prime is 12712780867. The reversal of 12712780800 is 808721721.

It is a happy number.

It is a super-2 number, since 2×12712780800² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5298001 + ... + 5300399.

Almost surely, 2^12712780800 is an apocalyptic number.

12712780800 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 12712780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758300800).

12712780800 is an abundant number, since it is smaller than the sum of its proper divisors (34803820800).

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

12712780800 is a wasteful number, since it uses less digits than its factorization.

12712780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 12712780800 in words is "twelve billion, seven hundred twelve million, seven hundred eighty thousand, eight hundred".