11012110120000 has 280 divisors, whose sum is σ = 29802957525792. Its totient is φ = 4002508800000.

The previous prime is 11012110119977. The next prime is 11012110120001. The reversal of 11012110120000 is 2101121011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11012110120001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1211315455 + ... + 1211324545.

Almost surely, 2^{11012110120000} is an apocalyptic number.

11012110120000 is a gapful number since it is divisible by the number (10) 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 11012110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14901478762896).

11012110120000 is an abundant number, since it is smaller than the sum of its proper divisors (18790847405792).

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

11012110120000 is an equidigital number, since it uses as much as digits as its factorization.

11012110120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11887 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11012110120000 its reverse (2101121011), we get a palindrome (11014211241011).

It can be divided in two parts, 11012 and 110120000, that multiplied together give a square (1212641440000 = 1101200²).

The spelling of 11012110120000 in words is "eleven trillion, twelve billion, one hundred ten million, one hundred twenty thousand".