120120011000011 has 16 divisors (see below), whose sum is σ = 133515636046560. Its totient is φ = 107137087832320.

The previous prime is 120120010999997. The next prime is 120120011000053. The reversal of 120120011000011 is 110000110021021.

It is a cyclic number.

It is not a de Polignac number, because 120120011000011 - 2¹⁷ = 120120010868939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120120011000081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22336245 + ... + 27187273.

It is an arithmetic number, because the mean of its divisors is an integer number (8344727252910).

Almost surely, 2^{120120011000011} is an apocalyptic number.

120120011000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120120011000011 is a deficient number, since it is larger than the sum of its proper divisors (13395625046549).

120120011000011 is a wasteful number, since it uses less digits than its factorization.

120120011000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893566.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 120120011000011 its reverse (110000110021021), we get a palindrome (230120121021032).

The spelling of 120120011000011 in words is "one hundred twenty trillion, one hundred twenty billion, eleven million, eleven", and thus it is an aban number.