12128831232000 has 1536 divisors, whose sum is σ = 48251863296000. Its totient is φ = 2702278656000.

The previous prime is 12128831231939. The next prime is 12128831232047. The reversal of 12128831232000 is 23213882121.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10800383439 + ... + 10800384561.

It is an arithmetic number, because the mean of its divisors is an integer number (31413973500).

Almost surely, 2^{12128831232000} is an apocalyptic number.

12128831232000 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 12128831232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24125931648000).

12128831232000 is an abundant number, since it is smaller than the sum of its proper divisors (36123032064000).

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

12128831232000 is an equidigital number, since it uses as much as digits as its factorization.

12128831232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 12128831232000 in words is "twelve trillion, one hundred twenty-eight billion, eight hundred thirty-one million, two hundred thirty-two thousand".