209283801120 has 144 divisors (see below), whose sum is σ = 721544143320. Its totient is φ = 55233626112.

The previous prime is 209283801091. The next prime is 209283801193. The reversal of 209283801120 is 21108382902.

It can be written as a sum of positive squares in 4 ways, for example, as 104672955024 + 104610846096 = 323532^2 + 323436^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×209283801120² (a number of 23 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609475 + ... + 888834.

Almost surely, 2^209283801120 is an apocalyptic number.

209283801120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209283801120 is an abundant number, since it is smaller than the sum of its proper divisors (512260342200).

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

209283801120 is a wasteful number, since it uses less digits than its factorization.

209283801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498427 (or 1498416 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 209283801120 in words is "two hundred nine billion, two hundred eighty-three million, eight hundred one thousand, one hundred twenty".