2011503250120 has 128 divisors (see below), whose sum is σ = 5572124006400. Its totient is φ = 636401074176.

The previous prime is 2011503250117. The next prime is 2011503250129. The reversal of 2011503250120 is 210523051102.

It is a super-2 number, since 2×2011503250120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011503250091 and 2011503250100.

It is not an unprimeable number, because it can be changed into a prime (2011503250129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11330601 + ... + 11506759.

It is an arithmetic number, because the mean of its divisors is an integer number (43532218800).

Almost surely, 2^{2011503250120} is an apocalyptic number.

2011503250120 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 2011503250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786062003200).

2011503250120 is an abundant number, since it is smaller than the sum of its proper divisors (3560620756280).

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

2011503250120 is a wasteful number, since it uses less digits than its factorization.

2011503250120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179327 (or 179323 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 2011503250120 in words is "two trillion, eleven billion, five hundred three million, two hundred fifty thousand, one hundred twenty".