11111000120010 has 288 divisors, whose sum is σ = 34711337037312. Its totient is φ = 2456160295680.

The previous prime is 11111000119987. The next prime is 11111000120071. The reversal of 11111000120010 is 1002100011111.

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 = 11111000119974 and 11111000120001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220488037 + ... + 220538423.

It is an arithmetic number, because the mean of its divisors is an integer number (120525475824).

Almost surely, 2^{11111000120010} is an apocalyptic number.

11111000120010 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 11111000120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17355668518656).

11111000120010 is an abundant number, since it is smaller than the sum of its proper divisors (23600336917302).

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

11111000120010 is a wasteful number, since it uses less digits than its factorization.

11111000120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52058 (or 52048 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11111000120010 its reverse (1002100011111), we get a palindrome (12113100131121).

The spelling of 11111000120010 in words is "eleven trillion, one hundred eleven billion, one hundred twenty thousand, ten".