11000121440000 has 720 divisors, whose sum is σ = 36009374311680. Its totient is φ = 3248087040000.

The previous prime is 11000121439963. The next prime is 11000121440027. The reversal of 11000121440000 is 4412100011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 234056504 + ... + 234103496.

Almost surely, 2^{11000121440000} is an apocalyptic number.

11000121440000 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 11000121440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004687155840).

11000121440000 is an abundant number, since it is smaller than the sum of its proper divisors (25009252871680).

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

11000121440000 is an equidigital number, since it uses as much as digits as its factorization.

11000121440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47066 (or 47037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11000121440000 its reverse (4412100011), we get a palindrome (11004533540011).

The spelling of 11000121440000 in words is "eleven trillion, one hundred twenty-one million, four hundred forty thousand".