2011200122120 has 64 divisors (see below), whose sum is σ = 5281692756480. Its totient is φ = 674882954496.

The previous prime is 2011200122101. The next prime is 2011200122149. The reversal of 2011200122120 is 212210021102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2011200122095 and 2011200122104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76400219 + ... + 76426538.

It is an arithmetic number, because the mean of its divisors is an integer number (82526449320).

Almost surely, 2^{2011200122120} is an apocalyptic number.

2011200122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011200122120 is an abundant number, since it is smaller than the sum of its proper divisors (3270492634360).

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

2011200122120 is a wasteful number, since it uses less digits than its factorization.

2011200122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152826822 (or 152826818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2011200122120 its reverse (212210021102), we get a palindrome (2223410143222).

The spelling of 2011200122120 in words is "two trillion, eleven billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".