12623688000 has 1680 divisors, whose sum is σ = 61216227072. Its totient is φ = 2509056000.

The previous prime is 12623687983. The next prime is 12623688013. The reversal of 12623688000 is 88632621.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 548855989 + ... + 548856011.

Almost surely, 2^12623688000 is an apocalyptic number.

12623688000 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 12623688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30608113536).

12623688000 is an abundant number, since it is smaller than the sum of its proper divisors (48592539072).

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

12623688000 is a wasteful number, since it uses less digits than its factorization.

12623688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12623688000 in words is "twelve billion, six hundred twenty-three million, six hundred eighty-eight thousand".