11120000120010 has 96 divisors (see below), whose sum is σ = 29326864320000. Its totient is φ = 2922908571648.

The previous prime is 11120000119927. The next prime is 11120000120017. The reversal of 11120000120010 is 1002100002111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11120000119974 and 11120000120001.

It is not an unprimeable number, because it can be changed into a prime (11120000120017) 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 47 ways as a sum of consecutive naturals, for example, 2953386 + ... + 5564394.

It is an arithmetic number, because the mean of its divisors is an integer number (305488170000).

Almost surely, 2^{11120000120010} is an apocalyptic number.

11120000120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120000120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14663432160000).

11120000120010 is an abundant number, since it is smaller than the sum of its proper divisors (18206864199990).

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

11120000120010 is a wasteful number, since it uses less digits than its factorization.

11120000120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611700 (or 2611697 counting only the distinct ones).

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

Adding to 11120000120010 its reverse (1002100002111), we get a palindrome (12122100122121).

The spelling of 11120000120010 in words is "eleven trillion, one hundred twenty billion, one hundred twenty thousand, ten".