2011011120000 has 240 divisors, whose sum is σ = 7231305304080. Its totient is φ = 536269440000.

The previous prime is 2011011119993. The next prime is 2011011120049. The reversal of 2011011120000 is 211101102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 676536 + ... + 2116535.

It is an arithmetic number, because the mean of its divisors is an integer number (30130438767).

Almost surely, 2^{2011011120000} is an apocalyptic number.

2011011120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011011120000 is an abundant number, since it is smaller than the sum of its proper divisors (5220294184080).

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

2011011120000 is an equidigital number, since it uses as much as digits as its factorization.

2011011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793111 (or 2793081 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2011011120000 its reverse (211101102), we get a palindrome (2011222221102).

The spelling of 2011011120000 in words is "two trillion, eleven billion, eleven million, one hundred twenty thousand".