1304185120128 has 384 divisors, whose sum is σ = 4354089667200. Its totient is φ = 370540707840.

The previous prime is 1304185120111. The next prime is 1304185120151. The reversal of 1304185120128 is 8210215814031.

It is a happy number.

1304185120128 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 18 + 512 + 0 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1304185120092 and 1304185120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23326575 + ... + 23382417.

It is an arithmetic number, because the mean of its divisors is an integer number (11338775175).

Almost surely, 2^{1304185120128} is an apocalyptic number.

1304185120128 is a gapful number since it is divisible by the number (18) 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 1304185120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177044833600).

1304185120128 is an abundant number, since it is smaller than the sum of its proper divisors (3049904547072).

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

1304185120128 is a wasteful number, since it uses less digits than its factorization.

1304185120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55990 (or 55975 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 1304185120128 in words is "one trillion, three hundred four billion, one hundred eighty-five million, one hundred twenty thousand, one hundred twenty-eight".