12072345600 has 504 divisors, whose sum is σ = 46549607688. Its totient is φ = 2752512000.

The previous prime is 12072345577. The next prime is 12072345611. The reversal of 12072345600 is 654327021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30105400 + ... + 30105800.

Almost surely, 2^12072345600 is an apocalyptic number.

12072345600 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 12072345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23274803844).

12072345600 is an abundant number, since it is smaller than the sum of its proper divisors (34477262088).

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

12072345600 is an equidigital number, since it uses as much as digits as its factorization.

12072345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 12072345600 in words is "twelve billion, seventy-two million, three hundred forty-five thousand, six hundred".