1201109282820 has 36 divisors (see below), whose sum is σ = 3643364825100. Its totient is φ = 320295808704.

The previous prime is 1201109282797. The next prime is 1201109282827. The reversal of 1201109282820 is 282829011021.

It can be written as a sum of positive squares in 2 ways, for example, as 208746644544 + 992362638276 = 456888^2 + 996174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (1201109282827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3336414495 + ... + 3336414854.

It is an arithmetic number, because the mean of its divisors is an integer number (101204578475).

Almost surely, 2^{1201109282820} is an apocalyptic number.

1201109282820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201109282820 is an abundant number, since it is smaller than the sum of its proper divisors (2442255542280).

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

1201109282820 is a wasteful number, since it uses less digits than its factorization.

1201109282820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672829364 (or 6672829359 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 1201109282820 in words is "one trillion, two hundred one billion, one hundred nine million, two hundred eighty-two thousand, eight hundred twenty".