128462188512 has 192 divisors, whose sum is σ = 402671001600. Its totient is φ = 35061548544.

The previous prime is 128462188493. The next prime is 128462188567. The reversal of 128462188512 is 215881264821.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 12715239 + ... + 12725337.

It is an arithmetic number, because the mean of its divisors is an integer number (2097244800).

Almost surely, 2^128462188512 is an apocalyptic number.

128462188512 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 128462188512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201335500800).

128462188512 is an abundant number, since it is smaller than the sum of its proper divisors (274208813088).

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

128462188512 is a wasteful number, since it uses less digits than its factorization.

128462188512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10965 (or 10957 counting only the distinct ones).

The product of its digits is 491520, while the sum is 48.

The spelling of 128462188512 in words is "one hundred twenty-eight billion, four hundred sixty-two million, one hundred eighty-eight thousand, five hundred twelve".