11110330110000 has 2400 divisors, whose sum is σ = 44069009402880. Its totient is φ = 2398556160000.

The previous prime is 11110330109939. The next prime is 11110330110037. The reversal of 11110330110000 is 1103301111.

It is a super-2 number, since 2×11110330110000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 140637089961 + ... + 140637090039.

Almost surely, 2^{11110330110000} is an apocalyptic number.

11110330110000 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 11110330110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22034504701440).

11110330110000 is an abundant number, since it is smaller than the sum of its proper divisors (32958679292880).

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

11110330110000 is a wasteful number, since it uses less digits than its factorization.

11110330110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11110330110000 its reverse (1103301111), we get a palindrome (11111433411111).

The spelling of 11110330110000 in words is "eleven trillion, one hundred ten billion, three hundred thirty million, one hundred ten thousand".