2011111422120 has 192 divisors, whose sum is σ = 6713909579520. Its totient is φ = 521712824832.

The previous prime is 2011111422101. The next prime is 2011111422121. The reversal of 2011111422120 is 212241111102.

2011111422120 is a `hidden beast` number, since 2 + 0 + 11 + 111 + 422 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011111422093 and 2011111422102.

It is not an unprimeable number, because it can be changed into a prime (2011111422121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119964859 + ... + 119981621.

It is an arithmetic number, because the mean of its divisors is an integer number (34968279060).

Almost surely, 2^{2011111422120} is an apocalyptic number.

2011111422120 is a gapful number since it is divisible by the number (20) 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 2011111422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356954789760).

2011111422120 is an abundant number, since it is smaller than the sum of its proper divisors (4702798157400).

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

2011111422120 is a wasteful number, since it uses less digits than its factorization.

2011111422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25824 (or 25817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2011111422120 its reverse (212241111102), we get a palindrome (2223352533222).

The spelling of 2011111422120 in words is "two trillion, eleven billion, one hundred eleven million, four hundred twenty-two thousand, one hundred twenty".