1200128405904 has 120 divisors (see below), whose sum is σ = 3437512752960. Its totient is φ = 390658657536.

The previous prime is 1200128405849. The next prime is 1200128405923. The reversal of 1200128405904 is 4095048210021.

1200128405904 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 28 + 40 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34800382 + ... + 34834850.

It is an arithmetic number, because the mean of its divisors is an integer number (28645939608).

Almost surely, 2^{1200128405904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200128405904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718756376480).

1200128405904 is an abundant number, since it is smaller than the sum of its proper divisors (2237384347056).

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

1200128405904 is a wasteful number, since it uses less digits than its factorization.

1200128405904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40149 (or 40140 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1200128405904 in words is "one trillion, two hundred billion, one hundred twenty-eight million, four hundred five thousand, nine hundred four".