12140928000 has 440 divisors, whose sum is σ = 45285109584. Its totient is φ = 3234816000.

The previous prime is 12140927987. The next prime is 12140928013. The reversal of 12140928000 is 82904121.

It is an interprime number because it is at equal distance from previous prime (12140927987) and next prime (12140928013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367415 + ... + 10368585.

Almost surely, 2^12140928000 is an apocalyptic number.

12140928000 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 12140928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22642554792).

12140928000 is an abundant number, since it is smaller than the sum of its proper divisors (33144181584).

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

12140928000 is an equidigital number, since it uses as much as digits as its factorization.

12140928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12140928000 in words is "twelve billion, one hundred forty million, nine hundred twenty-eight thousand".