1260128669184 has 2880 divisors, whose sum is σ = 5379315701760. Its totient is φ = 289700167680.

The previous prime is 1260128669131. The next prime is 1260128669197. The reversal of 1260128669184 is 4819668210621.

1260128669184 is a `hidden beast` number, since 1 + 2 + 601 + 28 + 6 + 6 + 9 + 1 + 8 + 4 = 666.

It is a super-2 number, since 2×1260128669184² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1260128669184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29305317867 + ... + 29305317909.

It is an arithmetic number, because the mean of its divisors is an integer number (1867817952).

Almost surely, 2^{1260128669184} is an apocalyptic number.

1260128669184 is a gapful number since it is divisible by the number (14) 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 1260128669184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689657850880).

1260128669184 is an abundant number, since it is smaller than the sum of its proper divisors (4119187032576).

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

1260128669184 is a wasteful number, since it uses less digits than its factorization.

1260128669184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1260128669184 in words is "one trillion, two hundred sixty billion, one hundred twenty-eight million, six hundred sixty-nine thousand, one hundred eighty-four".