120110001001000 has 128 divisors (see below), whose sum is σ = 284868011151360. Its totient is φ = 47395799808000.

The previous prime is 120110001000989. The next prime is 120110001001031. The reversal of 120110001001000 is 100100011021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28176249 + ... + 32157751.

It is an arithmetic number, because the mean of its divisors is an integer number (2225531337120).

Almost surely, 2^{120110001001000} is an apocalyptic number.

120110001001000 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 120110001001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142434005575680).

120110001001000 is an abundant number, since it is smaller than the sum of its proper divisors (164758010150360).

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

120110001001000 is a wasteful number, since it uses less digits than its factorization.

120110001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981932 (or 3981918 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 120110001001000 its reverse (100100011021), we get a palindrome (120210101012021).

The spelling of 120110001001000 in words is "one hundred twenty trillion, one hundred ten billion, one million, one thousand".