128121097420800 has 2304 divisors, whose sum is σ = 548220330403200. Its totient is φ = 29232621158400.

The previous prime is 128121097420763. The next prime is 128121097420829. The reversal of 128121097420800 is 8024790121821.

128121097420800 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 210 + 9 + 7 + 420 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7536535142392 + ... + 7536535142408.

Almost surely, 2^{128121097420800} is an apocalyptic number.

128121097420800 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 128121097420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274110165201600).

128121097420800 is an abundant number, since it is smaller than the sum of its proper divisors (420099232982400).

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

128121097420800 is an frugal number, since it uses more digits than its factorization.

128121097420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 128121097420800 in words is "one hundred twenty-eight trillion, one hundred twenty-one billion, ninety-seven million, four hundred twenty thousand, eight hundred".