12699648000 has 720 divisors, whose sum is σ = 50237315856. Its totient is φ = 3067084800.

The previous prime is 12699647971. The next prime is 12699648103. The reversal of 12699648000 is 84699621.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5101387776 + 7598260224 = 71424^2 + 87168^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12699648000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239615974 + ... + 239616026.

Almost surely, 2^12699648000 is an apocalyptic number.

12699648000 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 12699648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25118657928).

12699648000 is an abundant number, since it is smaller than the sum of its proper divisors (37537667856).

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

12699648000 is an equidigital number, since it uses as much as digits as its factorization.

12699648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12699648000 in words is "twelve billion, six hundred ninety-nine million, six hundred forty-eight thousand".