120091801872 has 160 divisors (see below), whose sum is σ = 360745482240. Its totient is φ = 33718164480.

The previous prime is 120091801813. The next prime is 120091801873. The reversal of 120091801872 is 278108190021.

It is a self number, because there is not a number n which added to its sum of digits gives 120091801872.

It is not an unprimeable number, because it can be changed into a prime (120091801873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4520404 + ... + 4546892.

It is an arithmetic number, because the mean of its divisors is an integer number (2254659264).

Almost surely, 2^120091801872 is an apocalyptic number.

120091801872 is a gapful number since it is divisible by the number (12) 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 120091801872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180372741120).

120091801872 is an abundant number, since it is smaller than the sum of its proper divisors (240653680368).

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

120091801872 is a wasteful number, since it uses less digits than its factorization.

120091801872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26741 (or 26735 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 39.

Adding to 120091801872 its reverse (278108190021), we get a palindrome (398199991893).

The spelling of 120091801872 in words is "one hundred twenty billion, ninety-one million, eight hundred one thousand, eight hundred seventy-two".