2011120333002 has 96 divisors (see below), whose sum is σ = 4787720555904. Its totient is φ = 605055024000.

The previous prime is 2011120332997. The next prime is 2011120333049. The reversal of 2011120333002 is 2003330211102.

2011120333002 is a `hidden beast` number, since 20 + 111 + 203 + 330 + 0 + 2 = 666.

It is a super-3 number, since 3×2011120333002³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 56100628 + ... + 56136464.

It is an arithmetic number, because the mean of its divisors is an integer number (49872089124).

Almost surely, 2^{2011120333002} is an apocalyptic number.

2011120333002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011120333002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393860277952).

2011120333002 is an abundant number, since it is smaller than the sum of its proper divisors (2776600222902).

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

2011120333002 is a wasteful number, since it uses less digits than its factorization.

2011120333002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37884 (or 37881 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2011120333002 its reverse (2003330211102), we get a palindrome (4014450544104).

The spelling of 2011120333002 in words is "two trillion, eleven billion, one hundred twenty million, three hundred thirty-three thousand, two".