2011120044030 has 192 divisors, whose sum is σ = 5688251412480. Its totient is φ = 491113497600.

The previous prime is 2011120044023. The next prime is 2011120044067. The reversal of 2011120044030 is 304400211102.

2011120044030 is a `hidden beast` number, since 20 + 1 + 1 + 1 + 200 + 440 + 3 + 0 = 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 = 2011120043994 and 2011120044012.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 46680279 + ... + 46723341.

It is an arithmetic number, because the mean of its divisors is an integer number (29626309440).

Almost surely, 2^{2011120044030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011120044030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844125706240).

2011120044030 is an abundant number, since it is smaller than the sum of its proper divisors (3677131368450).

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

2011120044030 is a wasteful number, since it uses less digits than its factorization.

2011120044030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44007 (or 44004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2011120044030 its reverse (304400211102), we get a palindrome (2315520255132).

The spelling of 2011120044030 in words is "two trillion, eleven billion, one hundred twenty million, forty-four thousand, thirty".