12693504000 has 256 divisors, whose sum is σ = 42284230560. Its totient is φ = 3381657600.

The previous prime is 12693503959. The next prime is 12693504007. The reversal of 12693504000 is 40539621.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×12693504000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12693504007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12287484 + ... + 12288516.

Almost surely, 2^12693504000 is an apocalyptic number.

12693504000 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 12693504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21142115280).

12693504000 is an abundant number, since it is smaller than the sum of its proper divisors (29590726560).

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

12693504000 is an frugal number, since it uses more digits than its factorization.

12693504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 12693504000 in words is "twelve billion, six hundred ninety-three million, five hundred four thousand".