232128129312 has 216 divisors, whose sum is σ = 673106304780. Its totient is φ = 75881164800.

The previous prime is 232128129293. The next prime is 232128129341. The reversal of 232128129312 is 213921821232.

232128129312 is a `hidden beast` number, since 2 + 3 + 212 + 8 + 129 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 230089064976 + 2039064336 = 479676^2 + 45156^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 407957764 + ... + 407958332.

Almost surely, 2^232128129312 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 232128129312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336553152390).

232128129312 is an abundant number, since it is smaller than the sum of its proper divisors (440978175468).

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

232128129312 is a wasteful number, since it uses less digits than its factorization.

232128129312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 926 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 232128129312 in words is "two hundred thirty-two billion, one hundred twenty-eight million, one hundred twenty-nine thousand, three hundred twelve".