2011001121120 has 48 divisors (see below), whose sum is σ = 6334653533040. Its totient is φ = 536266965504.

The previous prime is 2011001121109. The next prime is 2011001121121. The reversal of 2011001121120 is 211211001102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2011001121096 and 2011001121105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011001121121) 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 7 ways as a sum of consecutive naturals, for example, 2094792355 + ... + 2094793314.

It is an arithmetic number, because the mean of its divisors is an integer number (131971948605).

Almost surely, 2^{2011001121120} is an apocalyptic number.

2011001121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011001121120 is an abundant number, since it is smaller than the sum of its proper divisors (4323652411920).

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

2011001121120 is a wasteful number, since it uses less digits than its factorization.

2011001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189585687 (or 4189585679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011001121120 its reverse (211211001102), we get a palindrome (2222212122222).

The spelling of 2011001121120 in words is "two trillion, eleven billion, one million, one hundred twenty-one thousand, one hundred twenty".