12293733424000 has 128 divisors (see below), whose sum is σ = 34931765718720. Its totient is φ = 4214994278400.

The previous prime is 12293733423977. The next prime is 12293733424057. The reversal of 12293733424000 is 42433739221.

12293733424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12293733424000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54770739 + ... + 54994738.

Almost surely, 2^{12293733424000} is an apocalyptic number.

12293733424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12293733424000 is an abundant number, since it is smaller than the sum of its proper divisors (22638032294720).

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

12293733424000 is an equidigital number, since it uses as much as digits as its factorization.

12293733424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109765513 (or 109765491 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 12293733424000 in words is "twelve trillion, two hundred ninety-three billion, seven hundred thirty-three million, four hundred twenty-four thousand".