12728461623030 has 96 divisors (see below), whose sum is σ = 33269726730240. Its totient is φ = 3376235837760.

The previous prime is 12728461622951. The next prime is 12728461623079. The reversal of 12728461623030 is 3032616482721.

12728461623030 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 8 + 4 + 616 + 23 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419747449 + ... + 419777771.

It is an arithmetic number, because the mean of its divisors is an integer number (346559653440).

Almost surely, 2^{12728461623030} is an apocalyptic number.

12728461623030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12728461623030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634863365120).

12728461623030 is an abundant number, since it is smaller than the sum of its proper divisors (20541265107210).

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

12728461623030 is a wasteful number, since it uses less digits than its factorization.

12728461623030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54946 (or 54943 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12728461623030 in words is "twelve trillion, seven hundred twenty-eight billion, four hundred sixty-one million, six hundred twenty-three thousand, thirty".