12300213728 has 192 divisors, whose sum is σ = 29374119936. Its totient is φ = 5004288000.

The previous prime is 12300213647. The next prime is 12300213763. The reversal of 12300213728 is 82731200321.

It is a self number, because there is not a number n which added to its sum of digits gives 12300213728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11315201 + ... + 11316287.

It is an arithmetic number, because the mean of its divisors is an integer number (152990208).

Almost surely, 2^12300213728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300213728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14687059968).

12300213728 is an abundant number, since it is smaller than the sum of its proper divisors (17073906208).

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

12300213728 is a wasteful number, since it uses less digits than its factorization.

12300213728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 12300213728 in words is "twelve billion, three hundred million, two hundred thirteen thousand, seven hundred twenty-eight".