1100385285120 has 1320 divisors, whose sum is σ = 4462574697504. Its totient is φ = 257126400000.

The previous prime is 1100385285067. The next prime is 1100385285121. The reversal of 1100385285120 is 215825830011.

1100385285120 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 3 + 8 + 528 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100385285121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4384004995 + ... + 4384005245.

Almost surely, 2^{1100385285120} is an apocalyptic number.

1100385285120 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 1100385285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231287348752).

1100385285120 is an abundant number, since it is smaller than the sum of its proper divisors (3362189412384).

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

1100385285120 is a wasteful number, since it uses less digits than its factorization.

1100385285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 1100385285120 in words is "one trillion, one hundred billion, three hundred eighty-five million, two hundred eighty-five thousand, one hundred twenty".