128121248448800 has 216 divisors, whose sum is σ = 332473113233856. Its totient is φ = 48202487746560.

The previous prime is 128121248448799. The next prime is 128121248448821. The reversal of 128121248448800 is 8844842121821.

It is a happy number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

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, 356562029 + ... + 356921171.

Almost surely, 2^{128121248448800} is an apocalyptic number.

128121248448800 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 128121248448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166236556616928).

128121248448800 is an abundant number, since it is smaller than the sum of its proper divisors (204351864785056).

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

128121248448800 is a wasteful number, since it uses less digits than its factorization.

128121248448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360740 (or 360710 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 53.

The spelling of 128121248448800 in words is "one hundred twenty-eight trillion, one hundred twenty-one billion, two hundred forty-eight million, four hundred forty-eight thousand, eight hundred".