128227467312 has 300 divisors, whose sum is σ = 432676949760. Its totient is φ = 36555224832.

The previous prime is 128227467307. The next prime is 128227467353. The reversal of 128227467312 is 213764722821.

128227467312 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 274 + 67 + 312 = 666.

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 59 ways as a sum of consecutive naturals, for example, 32321553 + ... + 32325519.

Almost surely, 2^128227467312 is an apocalyptic number.

128227467312 is a gapful number since it is divisible by the number (12) 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 128227467312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216338474880).

128227467312 is an abundant number, since it is smaller than the sum of its proper divisors (304449482448).

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

128227467312 is a wasteful number, since it uses less digits than its factorization.

128227467312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4488 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 128227467312 in words is "one hundred twenty-eight billion, two hundred twenty-seven million, four hundred sixty-seven thousand, three hundred twelve".