128484288126000 has 2560 divisors, whose sum is σ = 518778224640000. Its totient is φ = 30258792345600.

The previous prime is 128484288125969. The next prime is 128484288126013. The reversal of 128484288126000 is 621882484821.

It is a happy number.

128484288126000 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 8 + 4 + 28 + 8 + 1 + 2 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 110476601419 + ... + 110476602581.

It is an arithmetic number, because the mean of its divisors is an integer number (202647744000).

Almost surely, 2^{128484288126000} is an apocalyptic number.

128484288126000 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 128484288126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259389112320000).

128484288126000 is an abundant number, since it is smaller than the sum of its proper divisors (390293936514000).

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

128484288126000 is a wasteful number, since it uses less digits than its factorization.

128484288126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 128484288126000 in words is "one hundred twenty-eight trillion, four hundred eighty-four billion, two hundred eighty-eight million, one hundred twenty-six thousand".